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202052682 = 232132127523
BaseRepresentation
bin11000000101100…
…01010001001010
3112002012100011200
430002301101022
5403211141212
632014405030
75002263606
oct1402612112
9462170150
10202052682
11a4065197
1257800776
1332b25700
141cb98506
1512b126dc
hexc0b144a

202052682 has 72 divisors (see below), whose sum is σ = 478692864. Its totient is φ = 61562592.

The previous prime is 202052663. The next prime is 202052689. The reversal of 202052682 is 286250202.

It is not an unprimeable number, because it can be changed into a prime (202052689) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 386073 + ... + 386595.

It is an arithmetic number, because the mean of its divisors is an integer number (6648512).

Almost surely, 2202052682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202052682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239346432).

202052682 is an abundant number, since it is smaller than the sum of its proper divisors (276640182).

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

202052682 is a wasteful number, since it uses less digits than its factorization.

202052682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 202052682 is about 14214.5236290211. The cubic root of 202052682 is about 586.7974346209.

The spelling of 202052682 in words is "two hundred two million, fifty-two thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 127 169 234 254 338 381 507 523 762 1014 1046 1143 1521 1569 1651 2286 3042 3138 3302 4707 4953 6799 9414 9906 13598 14859 20397 21463 29718 40794 42926 61191 64389 66421 88387 122382 128778 132842 176774 193167 199263 265161 386334 398526 530322 597789 795483 863473 1195578 1590966 1726946 2590419 5180838 7771257 11225149 15542514 22450298 33675447 67350894 101026341 202052682