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68825792 = 2672171291
BaseRepresentation
bin1000001101000…
…11001011000000
311210111201020102
410012203023000
5120104411132
610455101532
71464003200
oct406431300
9153451212
1068825792
1135939922
121b0718a8
131134a229
1491d8400
156097c62
hex41a32c0

68825792 has 84 divisors (see below), whose sum is σ = 168350184. Its totient is φ = 27740160.

The previous prime is 68825791. The next prime is 68825819. The reversal of 68825792 is 29752886.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (68825791) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52667 + ... + 53957.

Almost surely, 268825792 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 68825792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84175092).

68825792 is an abundant number, since it is smaller than the sum of its proper divisors (99524392).

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

68825792 is a wasteful number, since it uses less digits than its factorization.

68825792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1317 counting only the distinct ones).

The product of its digits is 483840, while the sum is 47.

The square root of 68825792 is about 8296.1311465044. The cubic root of 68825792 is about 409.8111206147.

The spelling of 68825792 in words is "sixty-eight million, eight hundred twenty-five thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 136 196 224 238 272 392 448 476 544 784 833 952 1088 1291 1568 1666 1904 2582 3136 3332 3808 5164 6664 7616 9037 10328 13328 18074 20656 21947 26656 36148 41312 43894 53312 63259 72296 82624 87788 126518 144592 153629 175576 253036 289184 307258 351152 506072 578368 614516 702304 1012144 1075403 1229032 1404608 2024288 2150806 2458064 4048576 4301612 4916128 8603224 9832256 17206448 34412896 68825792