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56206440 = 2333571733
BaseRepresentation
bin1101011001101…
…0010001101000
310220202120202000
43112122101220
5103342101230
65324411000
71251514113
oct326322150
9126676660
1056206440
11297aa804
12169a6a60
13b84c364
14767157a
154e03b60
hex359a468

56206440 has 128 divisors (see below), whose sum is σ = 190252800. Its totient is φ = 14757120.

The previous prime is 56206433. The next prime is 56206453. The reversal of 56206440 is 4460265.

It is a happy number.

56206440 is a `hidden beast` number, since 562 + 0 + 64 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76314 + ... + 77046.

It is an arithmetic number, because the mean of its divisors is an integer number (1486350).

Almost surely, 256206440 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 56206440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95126400).

56206440 is an abundant number, since it is smaller than the sum of its proper divisors (134046360).

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

56206440 is a wasteful number, since it uses less digits than its factorization.

56206440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 56206440 is about 7497.0954375678. The cubic root of 56206440 is about 383.0557856510.

The spelling of 56206440 in words is "fifty-six million, two hundred six 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 71 72 90 108 120 135 142 180 213 216 270 284 355 360 426 540 568 639 710 733 852 1065 1080 1278 1420 1466 1704 1917 2130 2199 2556 2840 2932 3195 3665 3834 4260 4398 5112 5864 6390 6597 7330 7668 8520 8796 9585 10995 12780 13194 14660 15336 17592 19170 19791 21990 25560 26388 29320 32985 38340 39582 43980 52043 52776 65970 76680 79164 87960 98955 104086 131940 156129 158328 197910 208172 260215 263880 312258 395820 416344 468387 520430 624516 780645 791640 936774 1040860 1249032 1405161 1561290 1873548 2081720 2341935 2810322 3122580 3747096 4683870 5620644 6245160 7025805 9367740 11241288 14051610 18735480 28103220 56206440