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55540032 = 2632312577
BaseRepresentation
bin1101001111011…
…1100101000000
310212111201121020
43103313211000
5103204240112
65302225440
71243040202
oct323674500
9125451536
1055540032
1129395059
1216725280
13b677c32
14753a772
154d2148c
hex34f7940

55540032 has 56 divisors (see below), whose sum is σ = 153350976. Its totient is φ = 17707008.

The previous prime is 55540027. The next prime is 55540039. The reversal of 55540032 is 23004555.

55540032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×555400322 = 6169390309122048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 55539984 and 55540011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55540039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1873 + ... + 10704.

Almost surely, 255540032 is an apocalyptic number.

It is an amenable number.

55540032 is an abundant number, since it is smaller than the sum of its proper divisors (97810944).

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

55540032 is a wasteful number, since it uses less digits than its factorization.

55540032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12615 (or 12605 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 55540032 is about 7452.5185004802. The cubic root of 55540032 is about 381.5358708034.

Adding to 55540032 its reverse (23004555), we get a palindrome (78544587).

The spelling of 55540032 in words is "fifty-five million, five hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 4416 12577 25154 37731 50308 75462 100616 150924 201232 289271 301848 402464 578542 603696 804928 867813 1157084 1207392 1735626 2314168 2414784 3471252 4628336 6942504 9256672 13885008 18513344 27770016 55540032