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55307520 = 283254801
BaseRepresentation
bin1101001011111…
…0110100000000
310212001220122200
43102332310000
5103124320040
65253233200
71241051262
oct322766400
9125056580
1055307520
11292463a4
1216632800
13b5c6158
1474b9b32
154cc7630
hex34bed00

55307520 has 108 divisors (see below), whose sum is σ = 191398116. Its totient is φ = 14745600.

The previous prime is 55307519. The next prime is 55307521. The reversal of 55307520 is 2570355.

It is an interprime number because it is at equal distance from previous prime (55307519) and next prime (55307521).

It can be written as a sum of positive squares in 2 ways, for example, as 25887744 + 29419776 = 5088^2 + 5424^2 .

It is a super-4 number, since 4×553075204 (a number of 32 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55307521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9120 + ... + 13920.

Almost surely, 255307520 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 55307520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95699058).

55307520 is an abundant number, since it is smaller than the sum of its proper divisors (136090596).

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

55307520 is a wasteful number, since it uses less digits than its factorization.

55307520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4828 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 55307520 is about 7436.9025810481. The cubic root of 55307520 is about 381.0027073195.

Adding to 55307520 its reverse (2570355), we get a palindrome (57877875).

The spelling of 55307520 in words is "fifty-five million, three hundred seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 4801 5760 9602 11520 14403 19204 24005 28806 38408 43209 48010 57612 72015 76816 86418 96020 115224 144030 153632 172836 192040 216045 230448 288060 307264 345672 384080 432090 460896 576120 614528 691344 768160 864180 921792 1152240 1229056 1382688 1536320 1728360 1843584 2304480 2765376 3072640 3456720 3687168 4608960 5530752 6145280 6913440 9217920 11061504 13826880 18435840 27653760 55307520