Search a number
-
+
25003536240 = 24351792632213
BaseRepresentation
bin10111010010010100…
…111010111101110000
32101112112120020121210
4113102110322331300
5402201401124430
615253024320120
71543416360054
oct272224727560
971475506553
1025003536240
11a670931941
124a19773040
1324861a3c77
1412d2a27c64
159b51702b0
hex5d253af70

25003536240 has 160 divisors (see below), whose sum is σ = 78275704320. Its totient is φ = 6602165248.

The previous prime is 25003536221. The next prime is 25003536247. The reversal of 25003536240 is 4263530052.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 25003536198 and 25003536207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25003536247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11297374 + ... + 11299586.

It is an arithmetic number, because the mean of its divisors is an integer number (489223152).

Almost surely, 225003536240 is an apocalyptic number.

25003536240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25003536240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39137852160).

25003536240 is an abundant number, since it is smaller than the sum of its proper divisors (53272168080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25003536240 is a wasteful number, since it uses less digits than its factorization.

25003536240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671 (or 2665 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 25003536240 in words is "twenty-five billion, three million, five hundred thirty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 179 240 263 358 526 537 716 789 895 1052 1074 1315 1432 1578 1790 2104 2148 2213 2630 2685 2864 3156 3580 3945 4208 4296 4426 5260 5370 6312 6639 7160 7890 8592 8852 10520 10740 11065 12624 13278 14320 15780 17704 21040 21480 22130 26556 31560 33195 35408 42960 44260 47077 53112 63120 66390 88520 94154 106224 132780 141231 177040 188308 235385 265560 282462 376616 396127 470770 531120 564924 582019 706155 753232 792254 941540 1129848 1164038 1188381 1412310 1584508 1746057 1883080 1980635 2259696 2328076 2376762 2824620 2910095 3169016 3492114 3766160 3961270 4656152 4753524 5649240 5820190 5941905 6338032 6984228 7922540 8730285 9312304 9507048 11298480 11640380 11883810 13968456 15845080 17460570 19014096 23280760 23767620 27936912 31690160 34921140 46561520 47535240 69842280 95070480 104181401 139684560 208362802 312544203 416725604 520907005 625088406 833451208 1041814010 1250176812 1562721015 1666902416 2083628020 2500353624 3125442030 4167256040 5000707248 6250884060 8334512080 12501768120 25003536240