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68829176 = 23133137577
BaseRepresentation
bin1000001101000…
…11111111111000
311210111212212202
410012203333320
5120110013201
610455125332
71464016103
oct406437770
9153455782
1068829176
1135941419
121b073848
131134b930
1491d973a
156098c6b
hex41a3ff8

68829176 has 64 divisors (see below), whose sum is σ = 147598080. Its totient is φ = 29859840.

The previous prime is 68829143. The next prime is 68829193. The reversal of 68829176 is 67192886.

It is a self number, because there is not a number n which added to its sum of digits gives 68829176.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119000 + ... + 119576.

It is an arithmetic number, because the mean of its divisors is an integer number (2306220).

Almost surely, 268829176 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 68829176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73799040).

68829176 is an abundant number, since it is smaller than the sum of its proper divisors (78768904).

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

68829176 is a wasteful number, since it uses less digits than its factorization.

68829176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 660 counting only the distinct ones).

The product of its digits is 290304, while the sum is 47.

The square root of 68829176 is about 8296.3350944860. The cubic root of 68829176 is about 409.8178369830.

The spelling of 68829176 in words is "sixty-eight million, eight hundred twenty-nine thousand, one hundred seventy-six".

Divisors: 1 2 4 8 13 26 31 37 52 62 74 104 124 148 248 296 403 481 577 806 962 1147 1154 1612 1924 2294 2308 3224 3848 4588 4616 7501 9176 14911 15002 17887 21349 29822 30004 35774 42698 59644 60008 71548 85396 119288 143096 170792 232531 277537 465062 555074 661819 930124 1110148 1323638 1860248 2220296 2647276 5294552 8603647 17207294 34414588 68829176