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56299950 = 23252761293
BaseRepresentation
bin1101011011000…
…1000110101110
310220221100000100
43112301012232
5103403044300
65330411530
71252353540
oct326610656
9126840010
1056299950
1129863a93
1216a30ba6
13b882aa5
147697690
154e21700
hex35b11ae

56299950 has 144 divisors (see below), whose sum is σ = 176301216. Its totient is φ = 12614400.

The previous prime is 56299949. The next prime is 56299951. The reversal of 56299950 is 5999265.

It is an interprime number because it is at equal distance from previous prime (56299949) and next prime (56299951).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 56299896 and 56299905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56299951) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 192004 + ... + 192296.

It is an arithmetic number, because the mean of its divisors is an integer number (1224314).

Almost surely, 256299950 is an apocalyptic number.

56299950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56299950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88150608).

56299950 is an abundant number, since it is smaller than the sum of its proper divisors (120001266).

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

56299950 is a wasteful number, since it uses less digits than its factorization.

56299950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 56299950 is about 7503.3292610680. The cubic root of 56299950 is about 383.2680964388.

The spelling of 56299950 in words is "fifty-six million, two hundred ninety-nine thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 61 63 70 75 90 105 122 126 150 175 183 210 225 293 305 315 350 366 427 450 525 549 586 610 630 854 879 915 1050 1098 1281 1465 1525 1575 1758 1830 2051 2135 2562 2637 2745 2930 3050 3150 3843 4102 4270 4395 4575 5274 5490 6153 6405 7325 7686 8790 9150 10255 10675 12306 12810 13185 13725 14650 17873 18459 19215 20510 21350 21975 26370 27450 30765 32025 35746 36918 38430 43950 51275 53619 61530 64050 65925 89365 92295 96075 102550 107238 125111 131850 153825 160857 178730 184590 192150 250222 268095 307650 321714 375333 446825 461475 536190 625555 750666 804285 893650 922950 1125999 1251110 1340475 1608570 1876665 2251998 2680950 3127775 3753330 4021425 5629995 6255550 8042850 9383325 11259990 18766650 28149975 56299950