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55379952 = 2432232727
BaseRepresentation
bin1101001101000…
…0011111110000
310212012121000100
43103100133300
5103134124302
65254552400
71241502405
oct323203760
9125177010
1055379952
1129295861
1216668700
13b620104
1474d82ac
154cddd1c
hex34d07f0

55379952 has 90 divisors (see below), whose sum is σ = 162241352. Its totient is φ = 17633088.

The previous prime is 55379939. The next prime is 55379953. The reversal of 55379952 is 25997355.

55379952 is a `hidden beast` number, since 553 + 7 + 9 + 95 + 2 = 666.

55379952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 55379898 and 55379907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55379953) 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 17 ways as a sum of consecutive naturals, for example, 75813 + ... + 76539.

Almost surely, 255379952 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 55379952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81120676).

55379952 is an abundant number, since it is smaller than the sum of its proper divisors (106861400).

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

55379952 is a wasteful number, since it uses less digits than its factorization.

55379952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 755 counting only the distinct ones).

The product of its digits is 425250, while the sum is 45.

The square root of 55379952 is about 7441.7707570174. The cubic root of 55379952 is about 381.1689580676.

The spelling of 55379952 in words is "fifty-five million, three hundred seventy-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 529 552 727 828 1058 1104 1454 1587 1656 2116 2181 2908 3174 3312 4232 4362 4761 5816 6348 6543 8464 8724 9522 11632 12696 13086 16721 17448 19044 25392 26172 33442 34896 38088 50163 52344 66884 76176 100326 104688 133768 150489 200652 267536 300978 384583 401304 601956 769166 802608 1153749 1203912 1538332 2307498 2407824 3076664 3461247 4614996 6153328 6922494 9229992 13844988 18459984 27689976 55379952