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56006604 = 223219372213
BaseRepresentation
bin1101010110100…
…1011111001100
310220101102121200
43111221133030
5103314202404
65320225500
71250022363
oct325513714
9126342550
1056006604
1129683655
121690b290
13b7ac404
14761c7da
154db4839
hex35697cc

56006604 has 72 divisors (see below), whose sum is σ = 153120240. Its totient is φ = 17200512.

The previous prime is 56006603. The next prime is 56006611. The reversal of 56006604 is 40660065.

56006604 is a `hidden beast` number, since 56 + 0 + 0 + 6 + 604 = 666.

It is a super-2 number, since 2×560066042 = 6273479383225632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56006603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24202 + ... + 26414.

It is an arithmetic number, because the mean of its divisors is an integer number (2126670).

Almost surely, 256006604 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 56006604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76560120).

56006604 is an abundant number, since it is smaller than the sum of its proper divisors (97113636).

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

56006604 is a wasteful number, since it uses less digits than its factorization.

56006604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 56006604 is about 7483.7560088501. The cubic root of 56006604 is about 382.6012752461.

Adding to 56006604 its reverse (40660065), we get a palindrome (96666669).

The spelling of 56006604 in words is "fifty-six million, six thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 36 37 38 57 74 76 111 114 148 171 222 228 333 342 444 666 684 703 1332 1406 2109 2213 2812 4218 4426 6327 6639 8436 8852 12654 13278 19917 25308 26556 39834 42047 79668 81881 84094 126141 163762 168188 245643 252282 327524 378423 491286 504564 736929 756846 982572 1473858 1513692 1555739 2947716 3111478 4667217 6222956 9334434 14001651 18668868 28003302 56006604