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55892352 = 273592467
BaseRepresentation
bin1101010100110…
…1100110000000
310220011121220010
43111031212000
5103302023402
65313544520
71246035315
oct325154600
9126147803
1055892352
112960582a
1216875140
13b76c3c9
1475ccd0c
154d90a6c
hex354d980

55892352 has 64 divisors (see below), whose sum is σ = 151041600. Its totient is φ = 18307584.

The previous prime is 55892341. The next prime is 55892371. The reversal of 55892352 is 25329855.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 55892352.

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 7 ways as a sum of consecutive naturals, for example, 21423 + ... + 23889.

It is an arithmetic number, because the mean of its divisors is an integer number (2360025).

Almost surely, 255892352 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 55892352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75520800).

55892352 is an abundant number, since it is smaller than the sum of its proper divisors (95149248).

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

55892352 is a wasteful number, since it uses less digits than its factorization.

55892352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543 (or 2531 counting only the distinct ones).

The product of its digits is 108000, while the sum is 39.

The square root of 55892352 is about 7476.1187791527. The cubic root of 55892352 is about 382.3409326202.

The spelling of 55892352 in words is "fifty-five million, eight hundred ninety-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 354 384 472 708 944 1416 1888 2467 2832 3776 4934 5664 7401 7552 9868 11328 14802 19736 22656 29604 39472 59208 78944 118416 145553 157888 236832 291106 315776 436659 473664 582212 873318 947328 1164424 1746636 2328848 3493272 4657696 6986544 9315392 13973088 18630784 27946176 55892352