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55377072 = 24323731031
BaseRepresentation
bin1101001100111…
…1110010110000
310212012110001200
43103033302300
5103134031242
65254531200
71241461122
oct323176260
9125173050
1055377072
1129293683
1216666b00
13b61b9ca
1474d7212
154cdd04c
hex34cfcb0

55377072 has 60 divisors (see below), whose sum is σ = 155545104. Its totient is φ = 18391680.

The previous prime is 55377071. The next prime is 55377073. The reversal of 55377072 is 27077355.

It is an interprime number because it is at equal distance from previous prime (55377071) and next prime (55377073).

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

It is not an unprimeable number, because it can be changed into a prime (55377071) 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, 53197 + ... + 54227.

Almost surely, 255377072 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 55377072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77772552).

55377072 is an abundant number, since it is smaller than the sum of its proper divisors (100168032).

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

55377072 is a wasteful number, since it uses less digits than its factorization.

55377072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 51450, while the sum is 36.

The square root of 55377072 is about 7441.5772521691. The cubic root of 55377072 is about 381.1623504681.

The spelling of 55377072 in words is "fifty-five million, three hundred seventy-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 373 746 1031 1119 1492 2062 2238 2984 3093 3357 4124 4476 5968 6186 6714 8248 8952 9279 12372 13428 16496 17904 18558 24744 26856 37116 49488 53712 74232 148464 384563 769126 1153689 1538252 2307378 3076504 3461067 4614756 6153008 6922134 9229512 13844268 18459024 27688536 55377072