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55572608 = 277132367
BaseRepresentation
bin1101001111111…
…1100010000000
310212120101021202
43103333202000
5103211310413
65303040332
71243234160
oct323774200
9125511252
1055572608
1129407583
12167400a8
13b689a00
1475485a0
154d2ae58
hex34ff880

55572608 has 96 divisors (see below), whose sum is σ = 137381760. Its totient is φ = 21924864.

The previous prime is 55572581. The next prime is 55572619. The reversal of 55572608 is 80627555.

55572608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 151241 + ... + 151607.

It is an arithmetic number, because the mean of its divisors is an integer number (1431060).

Almost surely, 255572608 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 55572608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68690880).

55572608 is an abundant number, since it is smaller than the sum of its proper divisors (81809152).

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

55572608 is a wasteful number, since it uses less digits than its factorization.

55572608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 38.

The square root of 55572608 is about 7454.7037499823. The cubic root of 55572608 is about 381.6104505428.

The spelling of 55572608 in words is "fifty-five million, five hundred seventy-two thousand, six hundred eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 169 182 208 224 338 364 367 416 448 676 728 734 832 896 1183 1352 1456 1468 1664 2366 2569 2704 2912 2936 4732 4771 5138 5408 5824 5872 9464 9542 10276 10816 11648 11744 18928 19084 20552 21632 23488 33397 37856 38168 41104 46976 62023 66794 75712 76336 82208 124046 133588 151424 152672 164416 248092 267176 305344 328832 434161 496184 534352 610688 868322 992368 1068704 1736644 1984736 2137408 3473288 3969472 4274816 6946576 7938944 13893152 27786304 55572608