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56098440 = 23335127409
BaseRepresentation
bin1101010111111…
…1111010001000
310220120002121000
43111333322020
5103330122230
65322215000
71250554206
oct325777210
9126502530
1056098440
1129736652
1216954460
13b812158
147644076
154dd1b60
hex357fe88

56098440 has 128 divisors (see below), whose sum is σ = 188928000. Its totient is φ = 14805504.

The previous prime is 56098429. The next prime is 56098447. The reversal of 56098440 is 4489065.

56098440 is a `hidden beast` number, since 5 + 609 + 8 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56098395 and 56098404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56098447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136956 + ... + 137364.

It is an arithmetic number, because the mean of its divisors is an integer number (1476000).

Almost surely, 256098440 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 56098440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94464000).

56098440 is an abundant number, since it is smaller than the sum of its proper divisors (132829560).

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

56098440 is a wasteful number, since it uses less digits than its factorization.

56098440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 56098440 is about 7489.8891847610. The cubic root of 56098440 is about 382.8102826416.

The spelling of 56098440 in words is "fifty-six million, ninety-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 127 135 180 216 254 270 360 381 409 508 540 635 762 818 1016 1080 1143 1227 1270 1524 1636 1905 2045 2286 2454 2540 3048 3272 3429 3681 3810 4090 4572 4908 5080 5715 6135 6858 7362 7620 8180 9144 9816 11043 11430 12270 13716 14724 15240 16360 17145 18405 22086 22860 24540 27432 29448 34290 36810 44172 45720 49080 51943 55215 68580 73620 88344 103886 110430 137160 147240 155829 207772 220860 259715 311658 415544 441720 467487 519430 623316 779145 934974 1038860 1246632 1402461 1558290 1869948 2077720 2337435 2804922 3116580 3739896 4674870 5609844 6233160 7012305 9349740 11219688 14024610 18699480 28049220 56098440