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201493056 = 2633197349
BaseRepresentation
bin11000000001010…
…00101001000000
3112001010220111210
430000220221000
5403040234211
631554410120
74664443212
oct1400505100
9461126453
10201493056
11a3812796
1257590940
133298aa7b
141ca905b2
1512a519a6
hexc028a40

201493056 has 112 divisors (see below), whose sum is σ = 557580800. Its totient is φ = 64143360.

The previous prime is 201493051. The next prime is 201493057. The reversal of 201493056 is 650394102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201493051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 577170 + ... + 577518.

It is an arithmetic number, because the mean of its divisors is an integer number (4978400).

Almost surely, 2201493056 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 201493056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278790400).

201493056 is an abundant number, since it is smaller than the sum of its proper divisors (356087744).

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

201493056 is a wasteful number, since it uses less digits than its factorization.

201493056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 201493056 is about 14194.8249725032. The cubic root of 201493056 is about 586.2551820698.

The spelling of 201493056 in words is "two hundred one million, four hundred ninety-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 97 124 186 192 194 248 291 349 372 388 496 582 698 744 776 992 1047 1164 1396 1488 1552 1984 2094 2328 2792 2976 3007 3104 4188 4656 5584 5952 6014 6208 8376 9021 9312 10819 11168 12028 16752 18042 18624 21638 22336 24056 32457 33504 33853 36084 43276 48112 64914 67008 67706 72168 86552 96224 101559 129828 135412 144336 173104 192448 203118 259656 270824 288672 346208 406236 519312 541648 577344 692416 812472 1038624 1049443 1083296 1624944 2077248 2098886 2166592 3148329 3249888 4197772 6296658 6499776 8395544 12593316 16791088 25186632 33582176 50373264 67164352 100746528 201493056