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55852608 = 2637291433
BaseRepresentation
bin1101010100001…
…1111001000000
310220002121101010
43111003321000
5103244240413
65313040520
71245511410
oct325037100
9126077333
1055852608
1129588989
1216856140
13b7572a6
1475bc640
154d83dc3
hex3543e40

55852608 has 112 divisors (see below), whose sum is σ = 174833280. Its totient is φ = 15396864.

The previous prime is 55852561. The next prime is 55852613. The reversal of 55852608 is 80625855.

It is a tau number, because it is divible by the number of its divisors (112).

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, 38260 + ... + 39692.

Almost surely, 255852608 is an apocalyptic number.

55852608 is a gapful number since it is divisible by the number (58) 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 55852608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87416640).

55852608 is an abundant number, since it is smaller than the sum of its proper divisors (118980672).

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

55852608 is a wasteful number, since it uses less digits than its factorization.

55852608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 39.

The square root of 55852608 is about 7473.4602427523. The cubic root of 55852608 is about 382.2502859830.

The spelling of 55852608 in words is "fifty-five million, eight hundred fifty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 168 174 192 203 224 232 336 348 406 448 464 609 672 696 812 928 1218 1344 1392 1433 1624 1856 2436 2784 2866 3248 4299 4872 5568 5732 6496 8598 9744 10031 11464 12992 17196 19488 20062 22928 30093 34392 38976 40124 41557 45856 60186 68784 80248 83114 91712 120372 124671 137568 160496 166228 240744 249342 275136 290899 320992 332456 481488 498684 581798 641984 664912 872697 962976 997368 1163596 1329824 1745394 1925952 1994736 2327192 2659648 3490788 3989472 4654384 6981576 7978944 9308768 13963152 18617536 27926304 55852608