Search a number
-
+
54648750 = 2354131959
BaseRepresentation
bin1101000001110…
…1111110101110
310210211102222210
43100131332232
5102442230000
65231151250
71232335542
oct320357656
9123742883
1054648750
1128936462
1216375526
13b425350
147387a22
154be7350
hex341dfae

54648750 has 160 divisors (see below), whose sum is σ = 157449600. Its totient is φ = 12528000.

The previous prime is 54648739. The next prime is 54648757. The reversal of 54648750 is 5784645.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 54648699 and 54648708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54648757) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 926221 + ... + 926279.

It is an arithmetic number, because the mean of its divisors is an integer number (984060).

Almost surely, 254648750 is an apocalyptic number.

54648750 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54648750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78724800).

54648750 is an abundant number, since it is smaller than the sum of its proper divisors (102800850).

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

54648750 is a wasteful number, since it uses less digits than its factorization.

54648750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 54648750 is about 7392.4792864099. The cubic root of 54648750 is about 379.4839486268.

The spelling of 54648750 in words is "fifty-four million, six hundred forty-eight thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 19 25 26 30 38 39 50 57 59 65 75 78 95 114 118 125 130 150 177 190 195 247 250 285 295 325 354 375 390 475 494 570 590 625 650 741 750 767 885 950 975 1121 1235 1250 1425 1475 1482 1534 1625 1770 1875 1950 2242 2301 2375 2470 2850 2950 3250 3363 3705 3750 3835 4425 4602 4750 4875 5605 6175 6726 7125 7375 7410 7670 8125 8850 9750 11210 11505 11875 12350 14250 14573 14750 16250 16815 18525 19175 22125 23010 23750 24375 28025 29146 30875 33630 35625 36875 37050 38350 43719 44250 48750 56050 57525 61750 71250 72865 73750 84075 87438 92625 95875 110625 115050 140125 145730 154375 168150 185250 191750 218595 221250 280250 287625 308750 364325 420375 437190 463125 479375 575250 700625 728650 840750 926250 958750 1092975 1401250 1438125 1821625 2101875 2185950 2876250 3643250 4203750 5464875 9108125 10929750 18216250 27324375 54648750