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51285920 = 2557291579
BaseRepresentation
bin1100001110100…
…0111110100000
310120111121001112
43003220332200
5101112122140
65031122452
71161631430
oct303507640
9116447045
1051285920
1126a49964
1215213428
13a8187ca
146b502c0
154780c65
hex30e8fa0

51285920 has 96 divisors (see below), whose sum is σ = 143337600. Its totient is φ = 16966656.

The previous prime is 51285919. The next prime is 51285943. The reversal of 51285920 is 2958215.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31691 + ... + 33269.

It is an arithmetic number, because the mean of its divisors is an integer number (1493100).

Almost surely, 251285920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51285920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71668800).

51285920 is an abundant number, since it is smaller than the sum of its proper divisors (92051680).

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

51285920 is a wasteful number, since it uses less digits than its factorization.

51285920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 51285920 is about 7161.4188538306. The cubic root of 51285920 is about 371.5347017091.

The spelling of 51285920 in words is "fifty-one million, two hundred eighty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 70 80 112 116 140 145 160 203 224 232 280 290 406 464 560 580 812 928 1015 1120 1160 1579 1624 2030 2320 3158 3248 4060 4640 6316 6496 7895 8120 11053 12632 15790 16240 22106 25264 31580 32480 44212 45791 50528 55265 63160 88424 91582 110530 126320 176848 183164 221060 228955 252640 320537 353696 366328 442120 457910 641074 732656 884240 915820 1282148 1465312 1602685 1768480 1831640 2564296 3205370 3663280 5128592 6410740 7326560 10257184 12821480 25642960 51285920