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200892512 = 2529713049
BaseRepresentation
bin10111111100101…
…10000001100000
3112000000101201102
423332112001200
5402412030022
631533453532
74656362312
oct1376260140
9460011642
10200892512
11a3442577
12573412a8
133280a612
141c9757b2
1512983a92
hexbf96060

200892512 has 48 divisors (see below), whose sum is σ = 415044000. Its totient is φ = 95585280.

The previous prime is 200892487. The next prime is 200892551. The reversal of 200892512 is 215298002.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64364 + ... + 67412.

It is an arithmetic number, because the mean of its divisors is an integer number (8646750).

Almost surely, 2200892512 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 200892512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207522000).

200892512 is an abundant number, since it is smaller than the sum of its proper divisors (214151488).

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

200892512 is a wasteful number, since it uses less digits than its factorization.

200892512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3159 (or 3151 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 200892512 is about 14173.6555623452. The cubic root of 200892512 is about 585.6721638103.

The spelling of 200892512 in words is "two hundred million, eight hundred ninety-two thousand, five hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 71 116 142 232 284 464 568 928 1136 2059 2272 3049 4118 6098 8236 12196 16472 24392 32944 48784 65888 88421 97568 176842 216479 353684 432958 707368 865916 1414736 1731832 2829472 3463664 6277891 6927328 12555782 25111564 50223128 100446256 200892512