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55403952 = 24317431579
BaseRepresentation
bin1101001101011…
…0010110110000
310212020210221020
43103112112300
5103140411302
65255255440
71241632362
oct323262660
9125223836
1055403952
112930189a
121667a580
13b62b006
147502d32
154ce5ebc
hex34d65b0

55403952 has 80 divisors (see below), whose sum is σ = 155168640. Its totient is φ = 16966656.

The previous prime is 55403939. The next prime is 55403963. The reversal of 55403952 is 25930455.

55403952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 34299 + ... + 35877.

It is an arithmetic number, because the mean of its divisors is an integer number (1939608).

Almost surely, 255403952 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 55403952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77584320).

55403952 is an abundant number, since it is smaller than the sum of its proper divisors (99764688).

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

55403952 is a wasteful number, since it uses less digits than its factorization.

55403952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The square root of 55403952 is about 7443.3831017891. The cubic root of 55403952 is about 381.2240124900.

The spelling of 55403952 in words is "fifty-five million, four hundred three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 43 48 51 68 86 102 129 136 172 204 258 272 344 408 516 688 731 816 1032 1462 1579 2064 2193 2924 3158 4386 4737 5848 6316 8772 9474 11696 12632 17544 18948 25264 26843 35088 37896 53686 67897 75792 80529 107372 135794 161058 203691 214744 271588 322116 407382 429488 543176 644232 814764 1086352 1154249 1288464 1629528 2308498 3259056 3462747 4616996 6925494 9233992 13850988 18467984 27701976 55403952