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208150992 = 24337174049
BaseRepresentation
bin11000110100000…
…10000111010000
3112111200011111000
430122002013100
5411241312432
632353222000
75105153130
oct1432020720
9474604430
10208150992
11a754aa15
1259861900
133417c38a
141d904ac0
151341957c
hexc6821d0

208150992 has 160 divisors (see below), whose sum is σ = 723168000. Its totient is φ = 55959552.

The previous prime is 208150991. The next prime is 208151029. The reversal of 208150992 is 299051802.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208150991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49384 + ... + 53432.

It is an arithmetic number, because the mean of its divisors is an integer number (4519800).

Almost surely, 2208150992 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 208150992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361584000).

208150992 is an abundant number, since it is smaller than the sum of its proper divisors (515017008).

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

208150992 is a wasteful number, since it uses less digits than its factorization.

208150992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4090 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 208150992 is about 14427.4388579540. The cubic root of 208150992 is about 592.6425486211.

The spelling of 208150992 in words is "two hundred eight million, one hundred fifty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 34 36 42 48 51 54 56 63 68 72 84 102 108 112 119 126 136 144 153 168 189 204 216 238 252 272 306 336 357 378 408 432 459 476 504 612 714 756 816 918 952 1008 1071 1224 1428 1512 1836 1904 2142 2448 2856 3024 3213 3672 4049 4284 5712 6426 7344 8098 8568 12147 12852 16196 17136 24294 25704 28343 32392 36441 48588 51408 56686 64784 68833 72882 85029 97176 109323 113372 137666 145764 170058 194352 206499 218646 226744 255087 275332 291528 340116 412998 437292 453488 481831 510174 550664 583056 619497 680232 765261 825996 874584 963662 1020348 1101328 1238994 1360464 1445493 1530522 1651992 1749168 1858491 1927324 2040696 2477988 2890986 3061044 3303984 3716982 3854648 4081392 4336479 4955976 5781972 6122088 7433964 7709296 8672958 9911952 11563944 12244176 13009437 14867928 17345916 23127888 26018874 29735856 34691832 52037748 69383664 104075496 208150992