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2975952 = 243717521
BaseRepresentation
bin1011010110100011010000
312121012020110
423112203100
51230212302
6143441320
734203150
oct13264320
95535213
102975952
111752971
12bb6240
13802725
14576760
153dbb6c
hex2d68d0

2975952 has 80 divisors (see below), whose sum is σ = 9320832. Its totient is φ = 798720.

The previous prime is 2975911. The next prime is 2975957. The reversal of 2975952 is 2595792.

It is a self number, because there is not a number n which added to its sum of digits gives 2975952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2975957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5452 + ... + 5972.

22975952 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 2975952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4660416).

2975952 is an abundant number, since it is smaller than the sum of its proper divisors (6344880).

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

2975952 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (2975951) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (550).

2975952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 550 counting only the distinct ones).

The product of its digits is 56700, while the sum is 39.

The square root of 2975952 is about 1725.0947800049. The cubic root of 2975952 is about 143.8385536291.

The spelling of 2975952 in words is "two million, nine hundred seventy-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 521 714 816 952 1042 1428 1563 1904 2084 2856 3126 3647 4168 5712 6252 7294 8336 8857 10941 12504 14588 17714 21882 25008 26571 29176 35428 43764 53142 58352 61999 70856 87528 106284 123998 141712 175056 185997 212568 247996 371994 425136 495992 743988 991984 1487976 2975952