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55463600 = 2452313443
BaseRepresentation
bin1101001110010…
…0111010110000
310212100211202102
43103210322300
5103144313400
65300435532
71242301313
oct323447260
9125324672
1055463600
1129342695
12166a8ba8
13b64c1ca
14751a97a
154d089d5
hex34e4eb0

55463600 has 60 divisors (see below), whose sum is σ = 133978776. Its totient is φ = 22064640.

The previous prime is 55463587. The next prime is 55463621. The reversal of 55463600 is 636455.

55463600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 124979 + ... + 125421.

Almost surely, 255463600 is an apocalyptic number.

55463600 is a gapful number since it is divisible by the number (50) 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 55463600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66989388).

55463600 is an abundant number, since it is smaller than the sum of its proper divisors (78515176).

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

55463600 is a wasteful number, since it uses less digits than its factorization.

55463600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 55463600 is about 7447.3888041380. The cubic root of 55463600 is about 381.3607722552.

The spelling of 55463600 in words is "fifty-five million, four hundred sixty-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 313 400 443 626 886 1252 1565 1772 2215 2504 3130 3544 4430 5008 6260 7088 7825 8860 11075 12520 15650 17720 22150 25040 31300 35440 44300 62600 88600 125200 138659 177200 277318 554636 693295 1109272 1386590 2218544 2773180 3466475 5546360 6932950 11092720 13865900 27731800 55463600