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56085414 = 237111737193
BaseRepresentation
bin1101010111110…
…0101110100110
310220112102201120
43111330232212
5103324213124
65322034410
71250501220
oct325745646
9126472646
1056085414
1129727890
1216948a06
13b809248
14763d410
154dccd79
hex357cba6

56085414 has 128 divisors (see below), whose sum is σ = 152865792. Its totient is φ = 13271040.

The previous prime is 56085409. The next prime is 56085427. The reversal of 56085414 is 41458065.

It is a super-3 number, since 3×560854143 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 290502 + ... + 290694.

It is an arithmetic number, because the mean of its divisors is an integer number (1194264).

Almost surely, 256085414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56085414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76432896).

56085414 is an abundant number, since it is smaller than the sum of its proper divisors (96780378).

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

56085414 is a wasteful number, since it uses less digits than its factorization.

56085414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270.

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 56085414 is about 7489.0195619988. The cubic root of 56085414 is about 382.7806509635.

The spelling of 56085414 in words is "fifty-six million, eighty-five thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 37 42 51 66 74 77 102 111 119 154 187 193 222 231 238 259 357 374 386 407 462 518 561 579 629 714 777 814 1122 1158 1221 1258 1309 1351 1554 1887 2123 2442 2618 2702 2849 3281 3774 3927 4053 4246 4403 5698 6369 6562 6919 7141 7854 8106 8547 8806 9843 12738 13209 13838 14282 14861 17094 19686 20757 21423 22967 26418 29722 36091 41514 42846 44583 45934 48433 49987 68901 72182 78551 89166 96866 99974 108273 121397 137802 145299 149961 157102 216546 235653 242794 252637 290598 299922 364191 471306 505274 549857 728382 757911 849779 1099714 1335367 1515822 1649571 1699558 2549337 2670734 3299142 4006101 5098674 8012202 9347569 18695138 28042707 56085414