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200672928 = 2532897829
BaseRepresentation
bin10111111011000…
…00011010100000
3111222121020111200
423331200122200
5402333013203
631525041200
74654456161
oct1375403240
9458536450
10200672928
11a33025a5
1257256200
13327616a1
141c919768
151293d9a3
hexbf606a0

200672928 has 72 divisors (see below), whose sum is σ = 577149300. Its totient is φ = 66130944.

The previous prime is 200672903. The next prime is 200672933. The reversal of 200672928 is 829276002.

It can be written as a sum of positive squares in 2 ways, for example, as 173923344 + 26749584 = 13188^2 + 5172^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 200672892 and 200672901.

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 11 ways as a sum of consecutive naturals, for example, 21718 + ... + 29546.

Almost surely, 2200672928 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 200672928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288574650).

200672928 is an abundant number, since it is smaller than the sum of its proper divisors (376476372).

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

200672928 is a wasteful number, since it uses less digits than its factorization.

200672928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7934 (or 7923 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 200672928 is about 14165.9072423901. The cubic root of 200672928 is about 585.4586978790.

The spelling of 200672928 in words is "two hundred million, six hundred seventy-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 89 96 144 178 267 288 356 534 712 801 1068 1424 1602 2136 2848 3204 4272 6408 7829 8544 12816 15658 23487 25632 31316 46974 62632 70461 93948 125264 140922 187896 250528 281844 375792 563688 696781 751584 1127376 1393562 2090343 2254752 2787124 4180686 5574248 6271029 8361372 11148496 12542058 16722744 22296992 25084116 33445488 50168232 66890976 100336464 200672928