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200402048 = 2771120333
BaseRepresentation
bin10111111000111…
…10010010000000
3111222002110221002
423330132102000
5402300331143
631515151132
74652250350
oct1374362200
9458073832
10200402048
11a3138030
12571454a8
13326982c2
141c888b60
15128d85b8
hexbf1e480

200402048 has 64 divisors (see below), whose sum is σ = 497776320. Its totient is φ = 78074880.

The previous prime is 200402029. The next prime is 200402071. The reversal of 200402048 is 840204002.

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

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, 311 + ... + 20022.

It is an arithmetic number, because the mean of its divisors is an integer number (7777755).

Almost surely, 2200402048 is an apocalyptic number.

200402048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200402048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248888160).

200402048 is an abundant number, since it is smaller than the sum of its proper divisors (297374272).

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

200402048 is a wasteful number, since it uses less digits than its factorization.

200402048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20365 (or 20353 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 200402048 is about 14156.3430305994. The cubic root of 200402048 is about 585.1951505156.

The spelling of 200402048 in words is "two hundred million, four hundred two thousand, forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 1232 1408 2464 4928 9856 20333 40666 81332 142331 162664 223663 284662 325328 447326 569324 650656 894652 1138648 1301312 1565641 1789304 2277296 2602624 3131282 3578608 4554592 6262564 7157216 9109184 12525128 14314432 18218368 25050256 28628864 50100512 100201024 200402048