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55937500 = 2257179
BaseRepresentation
bin1101010101100…
…0100111011100
310220020220211021
43111120213130
5103310000000
65314533524
71246314043
oct325304734
9126226737
1055937500
1129636743
12168972a4
13b786b18
14760155a
154d9e11a
hex35589dc

55937500 has 48 divisors (see below), whose sum is σ = 123046560. Its totient is φ = 22250000.

The previous prime is 55937477. The next prime is 55937513. The reversal of 55937500 is 573955.

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, 312411 + ... + 312589.

It is an arithmetic number, because the mean of its divisors is an integer number (2563470).

Almost surely, 255937500 is an apocalyptic number.

55937500 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 55937500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61523280).

55937500 is an abundant number, since it is smaller than the sum of its proper divisors (67109060).

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

55937500 is an frugal number, since it uses more digits than its factorization.

55937500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 23625, while the sum is 34.

The square root of 55937500 is about 7479.1376508258. The cubic root of 55937500 is about 382.4438523818.

The spelling of 55937500 in words is "fifty-five million, nine hundred thirty-seven thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 179 250 358 500 625 716 895 1250 1790 2500 3125 3580 4475 6250 8950 12500 15625 17900 22375 31250 44750 62500 78125 89500 111875 156250 223750 312500 447500 559375 1118750 2237500 2796875 5593750 11187500 13984375 27968750 55937500