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55896400 = 2452719963
BaseRepresentation
bin1101010100111…
…0100101010000
310220011211110001
43111032211100
5103302141100
65314015344
71246053160
oct325164520
9126154401
1055896400
112960887a
1216877554
13b7711c1
1475d05a0
154d91d6a
hex354e950

55896400 has 60 divisors (see below), whose sum is σ = 153483232. Its totient is φ = 19163520.

The previous prime is 55896389. The next prime is 55896413. The reversal of 55896400 is 469855.

It is a self number, because there is not a number n which added to its sum of digits gives 55896400.

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, 7182 + ... + 12781.

Almost surely, 255896400 is an apocalyptic number.

55896400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55896400 is an abundant number, since it is smaller than the sum of its proper divisors (97586832).

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

55896400 is a wasteful number, since it uses less digits than its factorization.

55896400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19988 (or 19977 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 55896400 is about 7476.3895029620. The cubic root of 55896400 is about 382.3501627365.

The spelling of 55896400 in words is "fifty-five million, eight hundred ninety-six thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 19963 39926 79852 99815 139741 159704 199630 279482 319408 399260 499075 558964 698705 798520 998150 1117928 1397410 1597040 1996300 2235856 2794820 3493525 3992600 5589640 6987050 7985200 11179280 13974100 27948200 55896400