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55896640 = 265374721
BaseRepresentation
bin1101010100111…
…0101001000000
310220011211202221
43111032221000
5103302143030
65314020424
71246053652
oct325165100
9126154687
1055896640
1129608a78
1216877714
13b771347
1475d06d2
154d91e7a
hex354ea40

55896640 has 56 divisors (see below), whose sum is σ = 136730232. Its totient is φ = 21749760.

The previous prime is 55896623. The next prime is 55896641. The reversal of 55896640 is 4669855.

It can be written as a sum of positive squares in 4 ways, for example, as 16257024 + 39639616 = 4032^2 + 6296^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55896641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9480 + ... + 14200.

Almost surely, 255896640 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 55896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68365116).

55896640 is an abundant number, since it is smaller than the sum of its proper divisors (80833592).

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

55896640 is a wasteful number, since it uses less digits than its factorization.

55896640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4775 (or 4765 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The square root of 55896640 is about 7476.4055534729. The cubic root of 55896640 is about 382.3507099626.

The spelling of 55896640 in words is "fifty-five million, eight hundred ninety-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 148 160 185 296 320 370 592 740 1184 1480 2368 2960 4721 5920 9442 11840 18884 23605 37768 47210 75536 94420 151072 174677 188840 302144 349354 377680 698708 755360 873385 1397416 1510720 1746770 2794832 3493540 5589664 6987080 11179328 13974160 27948320 55896640