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55193760 = 2532538329
BaseRepresentation
bin1101001010001…
…1000010100000
310211212010121100
43102203002200
5103112200020
65250554400
71240065516
oct322430240
9124763540
1055193760
1129178986
1216598a00
13b58643b
14748a4b6
154ca3a90
hex34a30a0

55193760 has 72 divisors (see below), whose sum is σ = 188353620. Its totient is φ = 14717952.

The previous prime is 55193753. The next prime is 55193771. The reversal of 55193760 is 6739155.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 54819216 + 374544 = 7404^2 + 612^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×551937602 = 6092702285875200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17725 + ... + 20604.

Almost surely, 255193760 is an apocalyptic number.

It is an amenable number.

55193760 is an abundant number, since it is smaller than the sum of its proper divisors (133159860).

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

55193760 is a wasteful number, since it uses less digits than its factorization.

55193760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38350 (or 38339 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 55193760 is about 7429.2502986506. The cubic root of 55193760 is about 380.7413045376.

The spelling of 55193760 in words is "fifty-five million, one hundred ninety-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 38329 76658 114987 153316 191645 229974 306632 344961 383290 459948 574935 613264 689922 766580 919896 1149870 1226528 1379844 1533160 1724805 1839792 2299740 2759688 3066320 3449610 3679584 4599480 5519376 6132640 6899220 9198960 11038752 13798440 18397920 27596880 55193760