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56752608 = 25311223241
BaseRepresentation
bin1101100001111…
…1100111100000
310221210022221110
43120133213200
5104012040413
65344223320
71256250333
oct330374740
9127708843
1056752608
112a043090
121700ab40
13b9b0b33
14777461a
154eb08c3
hex361f9e0

56752608 has 96 divisors (see below), whose sum is σ = 163924992. Its totient is φ = 17049600.

The previous prime is 56752583. The next prime is 56752627. The reversal of 56752608 is 80625765.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 235368 + ... + 235608.

It is an arithmetic number, because the mean of its divisors is an integer number (1707552).

Almost surely, 256752608 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 56752608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81962496).

56752608 is an abundant number, since it is smaller than the sum of its proper divisors (107172384).

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

56752608 is a wasteful number, since it uses less digits than its factorization.

56752608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 56752608 is about 7533.4326837107. The cubic root of 56752608 is about 384.2925288329.

The spelling of 56752608 in words is "fifty-six million, seven hundred fifty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 223 241 264 352 446 482 528 669 723 892 964 1056 1338 1446 1784 1928 2453 2651 2676 2892 3568 3856 4906 5302 5352 5784 7136 7359 7712 7953 9812 10604 10704 11568 14718 15906 19624 21208 21408 23136 29436 31812 39248 42416 53743 58872 63624 78496 84832 107486 117744 127248 161229 214972 235488 254496 322458 429944 591173 644916 859888 1182346 1289832 1719776 1773519 2364692 2579664 3547038 4729384 5159328 7094076 9458768 14188152 18917536 28376304 56752608