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208372992 = 2831811499
BaseRepresentation
bin11000110101110…
…00010100000000
3112112002110000020
430122320110000
5411320413432
632402053440
75110066302
oct1432702400
9475073006
10208372992
11a7691793
125994a280
1334229439
141d961972
151346022c
hexc6b8500

208372992 has 72 divisors (see below), whose sum is σ = 558012000. Its totient is φ = 69027840.

The previous prime is 208372909. The next prime is 208373047. The reversal of 208372992 is 299273802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138259 + ... + 139757.

Almost surely, 2208372992 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 208372992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279006000).

208372992 is an abundant number, since it is smaller than the sum of its proper divisors (349639008).

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

208372992 is a wasteful number, since it uses less digits than its factorization.

208372992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 208372992 is about 14435.1304808789. The cubic root of 208372992 is about 592.8531648006.

The spelling of 208372992 in words is "two hundred eight million, three hundred seventy-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 181 192 256 362 384 543 724 768 1086 1448 1499 2172 2896 2998 4344 4497 5792 5996 8688 8994 11584 11992 17376 17988 23168 23984 34752 35976 46336 47968 69504 71952 95936 139008 143904 191872 271319 287808 383744 542638 575616 813957 1085276 1151232 1627914 2170552 3255828 4341104 6511656 8682208 13023312 17364416 26046624 34728832 52093248 69457664 104186496 208372992