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200396928 = 2731015167
BaseRepresentation
bin10111111000111…
…01000010000000
3111222002012220110
423330131002000
5402300200203
631515111320
74652226414
oct1374350200
9458065813
10200396928
11a31341a6
1257142540
1332695b84
141c886d44
15128d6d03
hexbf1d080

200396928 has 64 divisors (see below), whose sum is σ = 537678720. Its totient is φ = 66124800.

The previous prime is 200396923. The next prime is 200396929. The reversal of 200396928 is 829693002.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (200396923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36201 + ... + 41367.

It is an arithmetic number, because the mean of its divisors is an integer number (8401230).

Almost surely, 2200396928 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 200396928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268839360).

200396928 is an abundant number, since it is smaller than the sum of its proper divisors (337281792).

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

200396928 is a wasteful number, since it uses less digits than its factorization.

200396928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5285 (or 5273 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 200396928 is about 14156.1621917807. The cubic root of 200396928 is about 585.1901668262.

The spelling of 200396928 in words is "two hundred million, three hundred ninety-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 303 384 404 606 808 1212 1616 2424 3232 4848 5167 6464 9696 10334 12928 15501 19392 20668 31002 38784 41336 62004 82672 124008 165344 248016 330688 496032 521867 661376 992064 1043734 1565601 1984128 2087468 3131202 4174936 6262404 8349872 12524808 16699744 25049616 33399488 50099232 66798976 100198464 200396928