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68995248 = 24371747257
BaseRepresentation
bin1000001110011…
…00100010110000
311210211022200120
410013030202300
5120130321443
610502450240
71465310220
oct407144260
9153738616
1068995248
1135a45173
121b133980
13113a93ba
149240080
1560cd083
hex41cc8b0

68995248 has 160 divisors (see below), whose sum is σ = 221128704. Its totient is φ = 18087936.

The previous prime is 68995247. The next prime is 68995253. The reversal of 68995248 is 84259986.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 68995248.

It is not an unprimeable number, because it can be changed into a prime (68995247) 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, 268336 + ... + 268592.

Almost surely, 268995248 is an apocalyptic number.

68995248 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68995248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110564352).

68995248 is an abundant number, since it is smaller than the sum of its proper divisors (152133456).

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

68995248 is a wasteful number, since it uses less digits than its factorization.

68995248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 333 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The square root of 68995248 is about 8306.3378212062. The cubic root of 68995248 is about 410.1471769853.

The spelling of 68995248 in words is "sixty-eight million, nine hundred ninety-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 47 48 51 56 68 84 94 102 112 119 136 141 168 188 204 238 257 272 282 329 336 357 376 408 476 514 564 658 714 752 771 799 816 952 987 1028 1128 1316 1428 1542 1598 1799 1904 1974 2056 2256 2397 2632 2856 3084 3196 3598 3948 4112 4369 4794 5264 5397 5593 5712 6168 6392 7196 7896 8738 9588 10794 11186 12079 12336 12784 13107 14392 15792 16779 17476 19176 21588 22372 24158 26214 28784 30583 33558 34952 36237 38352 43176 44744 48316 52428 61166 67116 69904 72474 84553 86352 89488 91749 96632 104856 122332 134232 144948 169106 183498 193264 205343 209712 244664 253659 268464 289896 338212 366996 410686 489328 507318 579792 616029 676424 733992 821372 1014636 1232058 1352848 1437401 1467984 1642744 2029272 2464116 2874802 3285488 4058544 4312203 4928232 5749604 8624406 9856464 11499208 17248812 22998416 34497624 68995248