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55363672 = 23713113673
BaseRepresentation
bin1101001100110…
…0100001011000
310212011202200101
43103030201120
5103133114142
65254345144
71241404060
oct323144130
9125152611
1055363672
1129284601
121665b1b4
13b615890
1474d23a0
154cd90b7
hex34cc858

55363672 has 64 divisors (see below), whose sum is σ = 129084480. Its totient is φ = 21676032.

The previous prime is 55363631. The next prime is 55363703. The reversal of 55363672 is 27636355.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81928 + ... + 82600.

It is an arithmetic number, because the mean of its divisors is an integer number (2016945).

Almost surely, 255363672 is an apocalyptic number.

55363672 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55363672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64542240).

55363672 is an abundant number, since it is smaller than the sum of its proper divisors (73720808).

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

55363672 is a wasteful number, since it uses less digits than its factorization.

55363672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 808 counting only the distinct ones).

The product of its digits is 113400, while the sum is 37.

The square root of 55363672 is about 7440.6768509323. The cubic root of 55363672 is about 381.1316037629.

The spelling of 55363672 in words is "fifty-five million, three hundred sixty-three thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 113 182 226 364 452 673 728 791 904 1346 1469 1582 2692 2938 3164 4711 5384 5876 6328 8749 9422 10283 11752 17498 18844 20566 34996 37688 41132 61243 69992 76049 82264 122486 152098 244972 304196 489944 532343 608392 988637 1064686 1977274 2129372 3954548 4258744 6920459 7909096 13840918 27681836 55363672