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48740880 = 24352947149
BaseRepresentation
bin1011100111101…
…1101000010000
310101201021220210
42321323220100
544434202010
64500404120
71131201456
oct271735020
9111637823
1048740880
1125570821
12143a6640
13a137276
14668a9d6
15442bb20
hex2e7ba10

48740880 has 160 divisors (see below), whose sum is σ = 160704000. Its totient is φ = 12199936.

The previous prime is 48740873. The next prime is 48740893. The reversal of 48740880 is 8804784.

48740880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327046 + ... + 327194.

It is an arithmetic number, because the mean of its divisors is an integer number (1004400).

Almost surely, 248740880 is an apocalyptic number.

48740880 is a gapful number since it is divisible by the number (40) 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 48740880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80352000).

48740880 is an abundant number, since it is smaller than the sum of its proper divisors (111963120).

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

48740880 is a wasteful number, since it uses less digits than its factorization.

48740880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 48740880 is about 6981.4668945717. The cubic root of 48740880 is about 365.2843971015.

The spelling of 48740880 in words is "forty-eight million, seven hundred forty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 47 48 58 60 80 87 94 116 120 141 145 149 174 188 232 235 240 282 290 298 348 376 435 447 464 470 564 580 596 696 705 745 752 870 894 940 1128 1160 1192 1363 1392 1410 1490 1740 1788 1880 2235 2256 2320 2384 2726 2820 2980 3480 3576 3760 4089 4321 4470 5452 5640 5960 6815 6960 7003 7152 8178 8642 8940 10904 11280 11920 12963 13630 14006 16356 17284 17880 20445 21009 21605 21808 25926 27260 28012 32712 34568 35015 35760 40890 42018 43210 51852 54520 56024 64815 65424 69136 70030 81780 84036 86420 103704 105045 109040 112048 129630 140060 163560 168072 172840 203087 207408 210090 259260 280120 327120 336144 345680 406174 420180 518520 560240 609261 812348 840360 1015435 1037040 1218522 1624696 1680720 2030870 2437044 3046305 3249392 4061740 4874088 6092610 8123480 9748176 12185220 16246960 24370440 48740880