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55347648 = 2631731547
BaseRepresentation
bin1101001100100…
…0100111000000
310212010221200220
43103020213000
5103132111043
65254143040
71241306256
oct323104700
9125127626
1055347648
1129273564
1216651a80
13b60b4b5
1474ca5d6
154cd4483
hex34c89c0

55347648 has 112 divisors (see below), whose sum is σ = 160349184. Its totient is φ = 16773120.

The previous prime is 55347629. The next prime is 55347659. The reversal of 55347648 is 84674355.

Its product of digits (403200) is a multiple of the sum of its prime divisors (600).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100911 + ... + 101457.

Almost surely, 255347648 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 55347648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80174592).

55347648 is an abundant number, since it is smaller than the sum of its proper divisors (105001536).

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

55347648 is a wasteful number, since it uses less digits than its factorization.

55347648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 600 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 55347648 is about 7439.5999892467. The cubic root of 55347648 is about 381.0948296960.

The spelling of 55347648 in words is "fifty-five million, three hundred forty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 64 68 93 96 102 124 136 186 192 204 248 272 372 408 496 527 544 547 744 816 992 1054 1088 1094 1488 1581 1632 1641 1984 2108 2188 2976 3162 3264 3282 4216 4376 5952 6324 6564 8432 8752 9299 12648 13128 16864 16957 17504 18598 25296 26256 27897 33728 33914 35008 37196 50592 50871 52512 55794 67828 74392 101184 101742 105024 111588 135656 148784 203484 223176 271312 288269 297568 406968 446352 542624 576538 595136 813936 864807 892704 1085248 1153076 1627872 1729614 1785408 2306152 3255744 3459228 4612304 6918456 9224608 13836912 18449216 27673824 55347648