Search a number
-
+
612969696 = 25323171967
BaseRepresentation
bin100100100010010…
…010110011100000
31120201102002100100
4210202102303200
52223410012241
6140454022400
721122104443
oct4442226340
91521362310
10612969696
11295007229
12151347a00
1399cba081
145b5a165a
1538c309b6
hex24892ce0

612969696 has 144 divisors (see below), whose sum is σ = 1826592768. Its totient is φ = 194745600.

The previous prime is 612969677. The next prime is 612969701. The reversal of 612969696 is 696969216.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 633405 + ... + 634371.

It is an arithmetic number, because the mean of its divisors is an integer number (12684672).

Almost surely, 2612969696 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 612969696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913296384).

612969696 is an abundant number, since it is smaller than the sum of its proper divisors (1213623072).

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

612969696 is a wasteful number, since it uses less digits than its factorization.

612969696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1074 counting only the distinct ones).

The product of its digits is 1889568, while the sum is 54.

The square root of 612969696 is about 24758.2248152003. The cubic root of 612969696 is about 849.4666531865.

The spelling of 612969696 in words is "six hundred twelve million, nine hundred sixty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 71 72 93 96 124 142 144 186 213 248 279 284 288 372 426 496 558 568 639 744 852 967 992 1116 1136 1278 1488 1704 1934 2201 2232 2272 2556 2901 2976 3408 3868 4402 4464 5112 5802 6603 6816 7736 8703 8804 8928 10224 11604 13206 15472 17406 17608 19809 20448 23208 26412 29977 30944 34812 35216 39618 46416 52824 59954 68657 69624 70432 79236 89931 92832 105648 119908 137314 139248 158472 179862 205971 211296 239816 269793 274628 278496 316944 359724 411942 479632 539586 549256 617913 633888 719448 823884 959264 1079172 1098512 1235826 1438896 1647768 2128367 2158344 2197024 2471652 2877792 3295536 4256734 4316688 4943304 6385101 6591072 8513468 8633376 9886608 12770202 17026936 19155303 19773216 25540404 34053872 38310606 51080808 68107744 76621212 102161616 153242424 204323232 306484848 612969696