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56464632 = 23327234871
BaseRepresentation
bin1101011101100…
…1010011111000
310221020200220200
43113121103320
5103423332012
65334122200
71253640630
oct327312370
9127220820
1056464632
1129966794
1216ab0360
13b90ca33
1476db6c0
154e553dc
hex35d94f8

56464632 has 96 divisors (see below), whose sum is σ = 182407680. Its totient is φ = 15428160.

The previous prime is 56464591. The next prime is 56464673. The reversal of 56464632 is 23646465.

56464632 is a `hidden beast` number, since 5 + 6 + 4 + 646 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (56464591) and next prime (56464673).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9157 + ... + 14027.

It is an arithmetic number, because the mean of its divisors is an integer number (1900080).

Almost surely, 256464632 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 56464632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91203840).

56464632 is an abundant number, since it is smaller than the sum of its proper divisors (125943048).

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

56464632 is a wasteful number, since it uses less digits than its factorization.

56464632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4913 (or 4906 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 56464632 is about 7514.2951765285. The cubic root of 56464632 is about 383.6414296023.

It can be divided in two parts, 5646463 and 2, that added together give a palindrome (5646465).

The spelling of 56464632 in words is "fifty-six million, four hundred sixty-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1288 1449 1656 1932 2898 3864 4871 5796 9742 11592 14613 19484 29226 34097 38968 43839 58452 68194 87678 102291 112033 116904 136388 175356 204582 224066 272776 306873 336099 350712 409164 448132 613746 672198 784231 818328 896264 1008297 1227492 1344396 1568462 2016594 2352693 2454984 2688792 3136924 4033188 4705386 6273848 7058079 8066376 9410772 14116158 18821544 28232316 56464632