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56488440 = 2335617717
BaseRepresentation
bin1101011101111…
…1000111111000
310221021220120110
43113133013320
5103430112230
65334424320
71254100221
oct327370770
9127256513
1056488440
1129982668
1216b020a0
13b91a818
147706248
154e5c4b0
hex35df1f8

56488440 has 64 divisors (see below), whose sum is σ = 172265760. Its totient is φ = 14814720.

The previous prime is 56488427. The next prime is 56488451. The reversal of 56488440 is 4488465.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3462 + ... + 11178.

Almost surely, 256488440 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 56488440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86132880).

56488440 is an abundant number, since it is smaller than the sum of its proper divisors (115777320).

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

56488440 is a wasteful number, since it uses less digits than its factorization.

56488440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7792 (or 7788 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 56488440 is about 7515.8791900881. The cubic root of 56488440 is about 383.6953421218.

The spelling of 56488440 in words is "fifty-six million, four hundred eighty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 366 488 610 732 915 1220 1464 1830 2440 3660 7320 7717 15434 23151 30868 38585 46302 61736 77170 92604 115755 154340 185208 231510 308680 463020 470737 926040 941474 1412211 1882948 2353685 2824422 3765896 4707370 5648844 7061055 9414740 11297688 14122110 18829480 28244220 56488440