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200976832 = 2672193373
BaseRepresentation
bin10111111101010…
…10100111000000
3112000011200101101
423332222213000
5402422224312
631535344144
74660163200
oct1376524700
9460150341
10200976832
11a349a961
1257382054
1332839b04
141c998400
151299da57
hexbfaa9c0

200976832 has 84 divisors (see below), whose sum is σ = 488487720. Its totient is φ = 81575424.

The previous prime is 200976821. The next prime is 200976847. The reversal of 200976832 is 238679002.

It is a junction number, because it is equal to n+sod(n) for n = 200976791 and 200976800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57898 + ... + 61270.

It is an arithmetic number, because the mean of its divisors is an integer number (5815330).

Almost surely, 2200976832 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 200976832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244243860).

200976832 is an abundant number, since it is smaller than the sum of its proper divisors (287510888).

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

200976832 is a wasteful number, since it uses less digits than its factorization.

200976832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 200976832 is about 14176.6297828504. The cubic root of 200976832 is about 585.7540931444.

The spelling of 200976832 in words is "two hundred million, nine hundred seventy-six thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 98 112 133 152 196 224 266 304 392 448 532 608 784 931 1064 1216 1568 1862 2128 3136 3373 3724 4256 6746 7448 8512 13492 14896 23611 26984 29792 47222 53968 59584 64087 94444 107936 128174 165277 188888 215872 256348 330554 377776 448609 512696 661108 755552 897218 1025392 1322216 1511104 1794436 2050784 2644432 3140263 3588872 4101568 5288864 6280526 7177744 10577728 12561052 14355488 25122104 28710976 50244208 100488416 200976832