Search a number
-
+
68472736 = 2517191659
BaseRepresentation
bin1000001010011…
…00111110100000
311202211202221021
410011030332200
5120012111421
610443335224
71461002653
oct405147640
9152752837
1068472736
1135718642
121ab21514
1311255617
14914589a
156028341
hex414cfa0

68472736 has 48 divisors (see below), whose sum is σ = 143700480. Its totient is φ = 32005120.

The previous prime is 68472731. The next prime is 68472743. The reversal of 68472736 is 63727486.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 68472692 and 68472701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68472731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103575 + ... + 104233.

It is an arithmetic number, because the mean of its divisors is an integer number (2993760).

Almost surely, 268472736 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 68472736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71850240).

68472736 is an abundant number, since it is smaller than the sum of its proper divisors (75227744).

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

68472736 is a wasteful number, since it uses less digits than its factorization.

68472736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 869 counting only the distinct ones).

The product of its digits is 338688, while the sum is 43.

The square root of 68472736 is about 8274.8254362252. The cubic root of 68472736 is about 409.1091822979.

The spelling of 68472736 in words is "sixty-eight million, four hundred seventy-two thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 68 136 191 272 382 544 659 764 1318 1528 2636 3056 3247 5272 6112 6494 10544 11203 12988 21088 22406 25976 44812 51952 89624 103904 125869 179248 251738 358496 503476 1006952 2013904 2139773 4027808 4279546 8559092 17118184 34236368 68472736