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202481856 = 2634139281
BaseRepresentation
bin11000001000110…
…10000011000000
3112010000010220000
430010122003000
5403313404411
632031520000
75006032053
oct1404320300
9463003800
10202481856
11a4328685
1257989000
1332c45b65
141cc6aa9a
1512b99956
hexc11a0c0

202481856 has 140 divisors (see below), whose sum is σ = 606689160. Its totient is φ = 66769920.

The previous prime is 202481843. The next prime is 202481861. The reversal of 202481856 is 658184202.

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

It is a self number, because there is not a number n which added to its sum of digits gives 202481856.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 720436 + ... + 720716.

It is an arithmetic number, because the mean of its divisors is an integer number (4333494).

Almost surely, 2202481856 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 202481856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303344580).

202481856 is an abundant number, since it is smaller than the sum of its proper divisors (404207304).

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

202481856 is a wasteful number, since it uses less digits than its factorization.

202481856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 202481856 is about 14229.6119413004. The cubic root of 202481856 is about 587.2126070445.

The spelling of 202481856 in words is "two hundred two million, four hundred eighty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 139 144 162 192 216 278 281 288 324 417 432 556 562 576 648 834 843 864 1112 1124 1251 1296 1668 1686 1728 2224 2248 2502 2529 2592 3336 3372 3753 4448 4496 5004 5058 5184 6672 6744 7506 7587 8896 8992 10008 10116 11259 13344 13488 15012 15174 17984 20016 20232 22518 22761 26688 26976 30024 30348 39059 40032 40464 45036 45522 53952 60048 60696 78118 80064 80928 90072 91044 117177 120096 121392 156236 161856 180144 182088 234354 240192 242784 312472 351531 360288 364176 468708 485568 624944 703062 720576 728352 937416 1054593 1249888 1406124 1456704 1874832 2109186 2499776 2812248 3163779 3749664 4218372 5624496 6327558 7499328 8436744 11248992 12655116 16873488 22497984 25310232 33746976 50620464 67493952 101240928 202481856