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56496330 = 232511149383
BaseRepresentation
bin1101011110000…
…1000011001010
310221022022101200
43113201003022
5103430340310
65334525030
71254132222
oct327410312
9127268350
1056496330
1129988590
1216b06776
13b9212a7
147709082
154e5e9c0
hex35e10ca

56496330 has 96 divisors (see below), whose sum is σ = 161740800. Its totient is φ = 13568640.

The previous prime is 56496301. The next prime is 56496359. The reversal of 56496330 is 3369465.

56496330 is a `hidden beast` number, since 5 + 649 + 6 + 3 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56496301) and next prime (56496359).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147319 + ... + 147701.

It is an arithmetic number, because the mean of its divisors is an integer number (1684800).

Almost surely, 256496330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56496330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80870400).

56496330 is an abundant number, since it is smaller than the sum of its proper divisors (105244470).

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

56496330 is a wasteful number, since it uses less digits than its factorization.

56496330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 56496330 is about 7516.4040604534. The cubic root of 56496330 is about 383.7132054541.

The spelling of 56496330 in words is "fifty-six million, four hundred ninety-six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 149 165 198 298 330 383 447 495 745 766 894 990 1149 1341 1490 1639 1915 2235 2298 2682 3278 3447 3830 4213 4470 4917 5745 6705 6894 8195 8426 9834 11490 12639 13410 14751 16390 17235 21065 24585 25278 29502 34470 37917 42130 49170 57067 63195 73755 75834 114134 126390 147510 171201 189585 285335 342402 379170 513603 570670 627737 856005 1027206 1255474 1712010 1883211 2568015 3138685 3766422 5136030 5649633 6277370 9416055 11299266 18832110 28248165 56496330