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55418976 = 2532337571
BaseRepresentation
bin1101001101101…
…0000001100000
310212021120112200
43103122001200
5103141401401
65255453200
71242024234
oct323320140
9125246480
1055418976
1129312108
1216687200
13b634ac2
1475085c4
154cea686
hex34da060

55418976 has 72 divisors (see below), whose sum is σ = 158342184. Its totient is φ = 18385920.

The previous prime is 55418903. The next prime is 55418977. The reversal of 55418976 is 67981455.

55418976 is a `hidden beast` number, since 554 + 1 + 8 + 97 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55418977) 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, 96771 + ... + 97341.

It is an arithmetic number, because the mean of its divisors is an integer number (2199197).

Almost surely, 255418976 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 55418976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79171092).

55418976 is an abundant number, since it is smaller than the sum of its proper divisors (102923208).

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

55418976 is a wasteful number, since it uses less digits than its factorization.

55418976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 913 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 55418976 is about 7444.3922518900. The cubic root of 55418976 is about 381.2584684673.

The spelling of 55418976 in words is "fifty-five million, four hundred eighteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 337 571 674 1011 1142 1348 1713 2022 2284 2696 3033 3426 4044 4568 5139 5392 6066 6852 8088 9136 10278 10784 12132 13704 16176 18272 20556 24264 27408 32352 41112 48528 54816 82224 97056 164448 192427 384854 577281 769708 1154562 1539416 1731843 2309124 3078832 3463686 4618248 6157664 6927372 9236496 13854744 18472992 27709488 55418976