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56988932 = 227111343331
BaseRepresentation
bin1101100101100…
…1010100000100
310222020100010012
43121121110010
5104042121212
65353245352
71261253330
oct331312404
9128210105
1056988932
112a1946a0
1217103858
13ba64580
1477d67c0
15500a922
hex3659504

56988932 has 96 divisors (see below), whose sum is σ = 137432064. Its totient is φ = 19958400.

The previous prime is 56988907. The next prime is 56988937. The reversal of 56988932 is 23988965.

It is not an unprimeable number, because it can be changed into a prime (56988937) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 172007 + ... + 172337.

It is an arithmetic number, because the mean of its divisors is an integer number (1431584).

Almost surely, 256988932 is an apocalyptic number.

56988932 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56988932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68716032).

56988932 is an abundant number, since it is smaller than the sum of its proper divisors (80443132).

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

56988932 is a wasteful number, since it uses less digits than its factorization.

56988932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 407 counting only the distinct ones).

The product of its digits is 933120, while the sum is 50.

The square root of 56988932 is about 7549.1014034784. The cubic root of 56988932 is about 384.8252020354.

The spelling of 56988932 in words is "fifty-six million, nine hundred eighty-eight thousand, nine hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 43 44 52 77 86 91 143 154 172 182 286 301 308 331 364 473 559 572 602 662 946 1001 1118 1204 1324 1892 2002 2236 2317 3311 3641 3913 4004 4303 4634 6149 6622 7282 7826 8606 9268 12298 13244 14233 14564 15652 17212 24596 25487 28466 30121 43043 47333 50974 56932 60242 86086 94666 99631 101948 120484 156563 172172 185029 189332 199262 313126 331331 370058 398524 626252 662662 740116 1095941 1295203 1325324 2035319 2191882 2590406 4070638 4383764 5180812 8141276 14247233 28494466 56988932