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56755404 = 2234592969
BaseRepresentation
bin1101100010000…
…0010011001100
310221210110210000
43120200103030
5104012133104
65344244300
71256261436
oct330402314
9127713700
1056755404
112a0451a2
1217010690
13b9b21a4
147775656
154eb1639
hex36204cc

56755404 has 60 divisors (see below), whose sum is σ = 150935400. Its totient is φ = 18591552.

The previous prime is 56755381. The next prime is 56755409. The reversal of 56755404 is 40455765.

It is a happy number.

56755404 is a `hidden beast` number, since 567 + 55 + 40 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (56755409) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17632 + ... + 20600.

It is an arithmetic number, because the mean of its divisors is an integer number (2515590).

Almost surely, 256755404 is an apocalyptic number.

56755404 is a gapful number since it is divisible by the number (54) 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 56755404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75467700).

56755404 is an abundant number, since it is smaller than the sum of its proper divisors (94179996).

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

56755404 is a wasteful number, since it uses less digits than its factorization.

56755404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3044 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 56755404 is about 7533.6182541990. The cubic root of 56755404 is about 384.2988396399.

The spelling of 56755404 in words is "fifty-six million, seven hundred fifty-five thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 81 108 118 162 177 236 324 354 531 708 1062 1593 2124 2969 3186 4779 5938 6372 8907 9558 11876 17814 19116 26721 35628 53442 80163 106884 160326 175171 240489 320652 350342 480978 525513 700684 961956 1051026 1576539 2102052 3153078 4729617 6306156 9459234 14188851 18918468 28377702 56755404