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55612400 = 2452413391
BaseRepresentation
bin1101010000100…
…1001111110000
310212122101212112
43110021033300
5103214044100
65303544452
71243461164
oct324111760
9125571775
1055612400
1129434468
121675b128
13b6a1b5c
147558ca4
154d37b35
hex35093f0

55612400 has 60 divisors (see below), whose sum is σ = 136907904. Its totient is φ = 21696000.

The previous prime is 55612399. The next prime is 55612439. The reversal of 55612400 is 421655.

It is a congruent number.

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, 14705 + ... + 18095.

Almost surely, 255612400 is an apocalyptic number.

55612400 is a gapful number since it is divisible by the number (50) 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 55612400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68453952).

55612400 is an abundant number, since it is smaller than the sum of its proper divisors (81295504).

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

55612400 is a wasteful number, since it uses less digits than its factorization.

55612400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3450 (or 3439 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 55612400 is about 7457.3721913285. The cubic root of 55612400 is about 381.7015111131.

The spelling of 55612400 in words is "fifty-five million, six hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 164 200 205 328 400 410 656 820 1025 1640 2050 3280 3391 4100 6782 8200 13564 16400 16955 27128 33910 54256 67820 84775 135640 139031 169550 271280 278062 339100 556124 678200 695155 1112248 1356400 1390310 2224496 2780620 3475775 5561240 6951550 11122480 13903100 27806200 55612400