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68906464 = 25111910303
BaseRepresentation
bin1000001101101…
…10110111100000
311210122210220021
410012312313200
5120120001324
610500523224
71464460324
oct406666740
9153583807
1068906464
11359944a0
121b0b0514
1311377b73
149219984
1560b1ae4
hex41b6de0

68906464 has 48 divisors (see below), whose sum is σ = 155796480. Its totient is φ = 29669760.

The previous prime is 68906447. The next prime is 68906471. The reversal of 68906464 is 46460986.

It is a self number, because there is not a number n which added to its sum of digits gives 68906464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1537 + ... + 11839.

It is an arithmetic number, because the mean of its divisors is an integer number (3245760).

Almost surely, 268906464 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 68906464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77898240).

68906464 is an abundant number, since it is smaller than the sum of its proper divisors (86890016).

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

68906464 is a wasteful number, since it uses less digits than its factorization.

68906464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10343 (or 10335 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The square root of 68906464 is about 8300.9917479781. The cubic root of 68906464 is about 409.9711738607.

The spelling of 68906464 in words is "sixty-eight million, nine hundred six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 352 418 608 836 1672 3344 6688 10303 20606 41212 82424 113333 164848 195757 226666 329696 391514 453332 783028 906664 1566056 1813328 2153327 3132112 3626656 4306654 6264224 8613308 17226616 34453232 68906464