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268758406 = 27173173499
BaseRepresentation
bin10000000001001…
…110110110000110
3200201201100020001
4100001032312012
51022300232111
642400231514
76442260130
oct2001166606
9621640201
10268758406
11128786194
127600b59a
13438ac957
14279a0050
15188dc1c1
hex1004ed86

268758406 has 64 divisors (see below), whose sum is σ = 511488000. Its totient is φ = 103265280.

The previous prime is 268758383. The next prime is 268758431. The reversal of 268758406 is 604857862.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 538345 + ... + 538843.

It is an arithmetic number, because the mean of its divisors is an integer number (7992000).

Almost surely, 2268758406 is an apocalyptic number.

268758406 is a deficient number, since it is larger than the sum of its proper divisors (242729594).

268758406 is a wasteful number, since it uses less digits than its factorization.

268758406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629.

The product of its (nonzero) digits is 645120, while the sum is 46.

The square root of 268758406 is about 16393.8526893467. The cubic root of 268758406 is about 645.3381685225.

The spelling of 268758406 in words is "two hundred sixty-eight million, seven hundred fifty-eight thousand, four hundred six".

Divisors: 1 2 7 14 17 31 34 62 73 119 146 217 238 434 499 511 527 998 1022 1054 1241 2263 2482 3493 3689 4526 6986 7378 8483 8687 15469 15841 16966 17374 30938 31682 36427 38471 59381 72854 76942 108283 118762 216566 254989 262973 269297 509978 525946 538594 619259 1129237 1238518 1840811 2258474 3681622 4334813 7904659 8669626 15809318 19197029 38394058 134379203 268758406