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51541056 = 263374261
BaseRepresentation
bin1100010010011…
…1010001000000
310120222120001000
43010213101000
5101143303211
65040412000
71164043320
oct304472100
9116876030
1051541056
1127103616
1215317000
13a8a7988
146bb9280
1547d1656
hex3127440

51541056 has 112 divisors (see below), whose sum is σ = 173207680. Its totient is φ = 14722560.

The previous prime is 51541027. The next prime is 51541073. The reversal of 51541056 is 65014515.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 9966 + ... + 14226.

Almost surely, 251541056 is an apocalyptic number.

51541056 is a gapful number since it is divisible by the number (56) 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 51541056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86603840).

51541056 is an abundant number, since it is smaller than the sum of its proper divisors (121666624).

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

51541056 is a wasteful number, since it uses less digits than its factorization.

51541056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4289 (or 4273 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 51541056 is about 7179.2099843924. The cubic root of 51541056 is about 372.1497835950.

The spelling of 51541056 in words is "fifty-one million, five hundred forty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 4261 6048 8522 12096 12783 17044 25566 29827 34088 38349 51132 59654 68176 76698 89481 102264 115047 119308 136352 153396 178962 204528 230094 238616 268443 272704 306792 357924 409056 460188 477232 536886 613584 715848 805329 818112 920376 954464 1073772 1227168 1431696 1610658 1840752 1908928 2147544 2454336 2863392 3221316 3681504 4295088 5726784 6442632 7363008 8590176 12885264 17180352 25770528 51541056