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56754064 = 2419238117
BaseRepresentation
bin1101100001111…
…1111110010000
310221210101221101
43120133332100
5104012112224
65344234144
71256254513
oct330377620
9127711841
1056754064
112a044194
121700b954
13b9b16b3
147774d7a
154eb1044
hex361ff90

56754064 has 40 divisors (see below), whose sum is σ = 120795840. Its totient is φ = 25711488.

The previous prime is 56754037. The next prime is 56754097. The reversal of 56754064 is 46045765.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2934 + ... + 11050.

It is an arithmetic number, because the mean of its divisors is an integer number (3019896).

Almost surely, 256754064 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 56754064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60397920).

56754064 is an abundant number, since it is smaller than the sum of its proper divisors (64041776).

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

56754064 is a wasteful number, since it uses less digits than its factorization.

56754064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8167 (or 8161 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The square root of 56754064 is about 7533.5293189846. The cubic root of 56754064 is about 384.2958151731.

The spelling of 56754064 in words is "fifty-six million, seven hundred fifty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 19 23 38 46 76 92 152 184 304 368 437 874 1748 3496 6992 8117 16234 32468 64936 129872 154223 186691 308446 373382 616892 746764 1233784 1493528 2467568 2987056 3547129 7094258 14188516 28377032 56754064