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56916440 = 2357271409
BaseRepresentation
bin1101100100011…
…1100111011000
310222002122200022
43121013213120
5104032311230
65351530012
71260532100
oct331074730
9128078608
1056916440
112a145189
1217089908
13ba3a589
1477b8200
154ee41e5
hex36479d8

56916440 has 96 divisors (see below), whose sum is σ = 151437600. Its totient is φ = 19192320.

The previous prime is 56916413. The next prime is 56916449. The reversal of 56916440 is 4461965.

It is a super-2 number, since 2×569164402 = 6478962284547200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 56916440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56916449) 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, 138956 + ... + 139364.

It is an arithmetic number, because the mean of its divisors is an integer number (1577475).

Almost surely, 256916440 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 56916440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75718800).

56916440 is an abundant number, since it is smaller than the sum of its proper divisors (94521160).

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

56916440 is a wasteful number, since it uses less digits than its factorization.

56916440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 56916440 is about 7544.2985094706. The cubic root of 56916440 is about 384.6619622361.

The spelling of 56916440 in words is "fifty-six million, nine hundred sixteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 71 98 140 142 196 245 280 284 355 392 409 490 497 568 710 818 980 994 1420 1636 1960 1988 2045 2485 2840 2863 3272 3479 3976 4090 4970 5726 6958 8180 9940 11452 13916 14315 16360 17395 19880 20041 22904 27832 28630 29039 34790 40082 57260 58078 69580 80164 100205 114520 116156 139160 145195 160328 200410 203273 232312 290390 400820 406546 580780 801640 813092 1016365 1161560 1422911 1626184 2032730 2845822 4065460 5691644 7114555 8130920 11383288 14229110 28458220 56916440