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55349504 = 28767461
BaseRepresentation
bin1101001100100…
…1000100000000
310212011001020122
43103021010000
5103132141004
65254155412
71241314550
oct323110400
9125131218
1055349504
11292749a1
1216652b68
13b60c2b2
1474cb160
154cd4cbe
hex34c9100

55349504 has 72 divisors (see below), whose sum is σ = 128428608. Its totient is φ = 23316480.

The previous prime is 55349491. The next prime is 55349519. The reversal of 55349504 is 40594355.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119834 + ... + 120294.

Almost surely, 255349504 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 55349504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64214304).

55349504 is an abundant number, since it is smaller than the sum of its proper divisors (73079104).

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

55349504 is an equidigital number, since it uses as much as digits as its factorization.

55349504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

The square root of 55349504 is about 7439.7247260903. The cubic root of 55349504 is about 381.0990894621.

The spelling of 55349504 in words is "fifty-five million, three hundred forty-nine thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 112 128 134 224 256 268 448 461 469 536 896 922 938 1072 1792 1844 1876 2144 3227 3688 3752 4288 6454 7376 7504 8576 12908 14752 15008 17152 25816 29504 30016 30887 51632 59008 60032 61774 103264 118016 120064 123548 206528 216209 247096 413056 432418 494192 826112 864836 988384 1729672 1976768 3459344 3953536 6918688 7907072 13837376 27674752 55349504