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56799840 = 2535731621
BaseRepresentation
bin1101100010101…
…1001001100000
310221212201201210
43120223021200
5104020043330
65345230120
71256535126
oct330531140
9127781653
1056799840
112a075619
1217032340
13b9c9496
147787916
154ebe8b0
hex362b260

56799840 has 96 divisors (see below), whose sum is σ = 181482336. Its totient is φ = 14929920.

The previous prime is 56799833. The next prime is 56799851. The reversal of 56799840 is 4899765.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 56799840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34230 + ... + 35850.

It is an arithmetic number, because the mean of its divisors is an integer number (1890441).

Almost surely, 256799840 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 56799840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90741168).

56799840 is an abundant number, since it is smaller than the sum of its proper divisors (124682496).

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

56799840 is a wasteful number, since it uses less digits than its factorization.

56799840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 56799840 is about 7536.5668576614. The cubic root of 56799840 is about 384.3991076161.

The spelling of 56799840 in words is "fifty-six million, seven hundred ninety-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 73 80 96 120 146 160 219 240 292 365 438 480 584 730 876 1095 1168 1460 1621 1752 2190 2336 2920 3242 3504 4380 4863 5840 6484 7008 8105 8760 9726 11680 12968 16210 17520 19452 24315 25936 32420 35040 38904 48630 51872 64840 77808 97260 118333 129680 155616 194520 236666 259360 354999 389040 473332 591665 709998 778080 946664 1183330 1419996 1774995 1893328 2366660 2839992 3549990 3786656 4733320 5679984 7099980 9466640 11359968 14199960 18933280 28399920 56799840