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55640832 = 283135573
BaseRepresentation
bin1101010001000…
…0001100000000
310212200211212120
43110100030000
5103221001312
65304324240
71243640112
oct324201400
9125624776
1055640832
1129453865
1216773680
13b6b1a90
1475653b2
154d4128c
hex3510300

55640832 has 72 divisors (see below), whose sum is σ = 159505584. Its totient is φ = 17117184.

The previous prime is 55640801. The next prime is 55640857. The reversal of 55640832 is 23804655.

It is a junction number, because it is equal to n+sod(n) for n = 55640793 and 55640802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7198 + ... + 12770.

Almost surely, 255640832 is an apocalyptic number.

55640832 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 55640832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79752792).

55640832 is an abundant number, since it is smaller than the sum of its proper divisors (103864752).

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

55640832 is a wasteful number, since it uses less digits than its factorization.

55640832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5605 (or 5591 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 55640832 is about 7459.2782492678. The cubic root of 55640832 is about 381.7665486972.

The spelling of 55640832 in words is "fifty-five million, six hundred forty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3328 4992 5573 9984 11146 16719 22292 33438 44584 66876 72449 89168 133752 144898 178336 217347 267504 289796 356672 434694 535008 579592 713344 869388 1070016 1159184 1426688 1738776 2140032 2318368 3477552 4280064 4636736 6955104 9273472 13910208 18546944 27820416 55640832