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2979972 = 2232235961
BaseRepresentation
bin1011010111100010000100
312121101202100
423113202010
51230324342
6143512100
734220652
oct13274204
95541670
102979972
111755996
12bb8630
138044c8
14577dd2
153dce4c
hex2d7884

2979972 has 72 divisors (see below), whose sum is σ = 8124480. Its totient is φ = 918720.

The previous prime is 2979971. The next prime is 2979989. The reversal of 2979972 is 2799792.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2979971) 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, 48822 + ... + 48882.

It is an arithmetic number, because the mean of its divisors is an integer number (112840).

22979972 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 2979972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062240).

2979972 is an abundant number, since it is smaller than the sum of its proper divisors (5144508).

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

2979972 is a wasteful number, since it uses less digits than its factorization.

2979972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 148 counting only the distinct ones).

The product of its digits is 142884, while the sum is 45.

The square root of 2979972 is about 1726.2595401619. The cubic root of 2979972 is about 143.9032915479.

The spelling of 2979972 in words is "two million, nine hundred seventy-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 59 61 69 92 118 122 138 177 183 207 236 244 276 354 366 414 531 549 708 732 828 1062 1098 1357 1403 2124 2196 2714 2806 3599 4071 4209 5428 5612 7198 8142 8418 10797 12213 12627 14396 16284 16836 21594 24426 25254 32391 43188 48852 50508 64782 82777 129564 165554 248331 331108 496662 744993 993324 1489986 2979972