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55670496 = 2537372239
BaseRepresentation
bin1101010001011…
…1011011100000
310212202100120020
43110113123200
5103222423441
65305113440
71244122440
oct324273340
9125670506
1055670496
1129474082
1216788880
13b6c242b
147572120
154d49e66
hex35176e0

55670496 has 96 divisors (see below), whose sum is σ = 171601920. Its totient is φ = 15469056.

The previous prime is 55670471. The next prime is 55670521. The reversal of 55670496 is 69407655.

55670496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55670471) and next prime (55670521).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23745 + ... + 25983.

It is an arithmetic number, because the mean of its divisors is an integer number (1787520).

Almost surely, 255670496 is an apocalyptic number.

55670496 is a gapful number since it is divisible by the number (56) 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 55670496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85800960).

55670496 is an abundant number, since it is smaller than the sum of its proper divisors (115931424).

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

55670496 is a wasteful number, since it uses less digits than its factorization.

55670496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 55670496 is about 7461.2663804478. The cubic root of 55670496 is about 381.8343808423.

The spelling of 55670496 in words is "fifty-five million, six hundred seventy thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 74 84 96 111 112 148 168 222 224 259 296 336 444 518 592 672 777 888 1036 1184 1554 1776 2072 2239 3108 3552 4144 4478 6216 6717 8288 8956 12432 13434 15673 17912 24864 26868 31346 35824 47019 53736 62692 71648 82843 94038 107472 125384 165686 188076 214944 248529 250768 331372 376152 497058 501536 579901 662744 752304 994116 1159802 1325488 1504608 1739703 1988232 2319604 2650976 3479406 3976464 4639208 6958812 7952928 9278416 13917624 18556832 27835248 55670496