Search a number
-
+
97564626 = 23231533299
BaseRepresentation
bin1011101000010…
…11011111010010
320210120210111200
411310023133102
5144434032001
613403052030
72263166655
oct564133722
9223523450
1097564626
1150088825
1228811016
13172a0163
14cd5989c
158873086
hex5d0b7d2

97564626 has 48 divisors (see below), whose sum is σ = 222393600. Its totient is φ = 30869280.

The previous prime is 97564619. The next prime is 97564627. The reversal of 97564626 is 62646579.

It is not an unprimeable number, because it can be changed into a prime (97564627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27925 + ... + 31223.

It is an arithmetic number, because the mean of its divisors is an integer number (4633200).

Almost surely, 297564626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97564626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111196800).

97564626 is an abundant number, since it is smaller than the sum of its proper divisors (124828974).

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

97564626 is a wasteful number, since it uses less digits than its factorization.

97564626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3391 (or 3388 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 97564626 is about 9877.4807516897. The cubic root of 97564626 is about 460.3598727659.

The spelling of 97564626 in words is "ninety-seven million, five hundred sixty-four thousand, six hundred twenty-six".

Divisors: 1 2 3 6 9 18 31 53 62 93 106 159 186 279 318 477 558 954 1643 3286 3299 4929 6598 9858 9897 14787 19794 29574 29691 59382 102269 174847 204538 306807 349694 524541 613614 920421 1049082 1573623 1840842 3147246 5420257 10840514 16260771 32521542 48782313 97564626