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55643136 = 210359307
BaseRepresentation
bin1101010001000…
…0110000000000
310212200222000220
43110100300000
5103221040021
65304343040
71243646613
oct324206000
9125628026
1055643136
112945556a
1216774a80
13b6b2b43
14756617a
154d41cc6
hex3510c00

55643136 has 88 divisors (see below), whose sum is σ = 151314240. Its totient is φ = 18173952.

The previous prime is 55643129. The next prime is 55643143. The reversal of 55643136 is 63134655.

It is an interprime number because it is at equal distance from previous prime (55643129) and next prime (55643143).

It is a junction number, because it is equal to n+sod(n) for n = 55643097 and 55643106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181095 + ... + 181401.

It is an arithmetic number, because the mean of its divisors is an integer number (1719480).

Almost surely, 255643136 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 55643136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75657120).

55643136 is an abundant number, since it is smaller than the sum of its proper divisors (95671104).

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

55643136 is a wasteful number, since it uses less digits than its factorization.

55643136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 371 counting only the distinct ones).

The product of its digits is 32400, while the sum is 33.

The square root of 55643136 is about 7459.4326862034. The cubic root of 55643136 is about 381.7718180768.

The spelling of 55643136 in words is "fifty-five million, six hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 256 307 354 384 472 512 614 708 768 921 944 1024 1228 1416 1536 1842 1888 2456 2832 3072 3684 3776 4912 5664 7368 7552 9824 11328 14736 15104 18113 19648 22656 29472 30208 36226 39296 45312 54339 58944 60416 72452 78592 90624 108678 117888 144904 157184 181248 217356 235776 289808 314368 434712 471552 579616 869424 943104 1159232 1738848 2318464 3477696 4636928 6955392 9273856 13910784 18547712 27821568 55643136