Search a number
-
+
68833632 = 2537214633
BaseRepresentation
bin1000001101001…
…01000101100000
311210112002222210
410012211011200
5120110134012
610455202120
71464035100
oct406450540
9153462883
1068833632
11359447aa
121b076340
131135097a
1491db200
15609a23c
hex41a5160

68833632 has 72 divisors (see below), whose sum is σ = 210202776. Its totient is φ = 19665408.

The previous prime is 68833631. The next prime is 68833649. The reversal of 68833632 is 23633886.

It is a super-2 number, since 2×688336322 = 9476137788622848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68833631) 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, 2613 + ... + 12020.

It is an arithmetic number, because the mean of its divisors is an integer number (2919483).

Almost surely, 268833632 is an apocalyptic number.

It is an amenable number.

68833632 is an abundant number, since it is smaller than the sum of its proper divisors (141369144).

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

68833632 is a wasteful number, since it uses less digits than its factorization.

68833632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14660 (or 14645 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 68833632 is about 8296.6036424551. The cubic root of 68833632 is about 409.8266806593.

The spelling of 68833632 in words is "sixty-eight million, eight hundred thirty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 14633 29266 43899 58532 87798 102431 117064 175596 204862 234128 307293 351192 409724 468256 614586 702384 717017 819448 1229172 1404768 1434034 1638896 2151051 2458344 2868068 3277792 4302102 4916688 5736136 8604204 9833376 11472272 17208408 22944544 34416816 68833632