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2802972 = 2233759107
BaseRepresentation
bin1010101100010100011100
312021101221210
422230110130
51204143342
6140024420
732552634
oct12542434
95241853
102802972
111644a07
12b32110
13771a83
1452d6c4
153a579c
hex2ac51c

2802972 has 48 divisors (see below), whose sum is σ = 6894720. Its totient is φ = 885312.

The previous prime is 2802967. The next prime is 2802973. The reversal of 2802972 is 2792082.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2802973) 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, 26143 + ... + 26249.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

22802972 is an apocalyptic number.

It is an amenable number.

2802972 is an abundant number, since it is smaller than the sum of its proper divisors (4091748).

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

2802972 is a wasteful number, since it uses less digits than its factorization.

2802972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2802972 is about 1674.2078723982. The cubic root of 2802972 is about 140.9958250361.

The spelling of 2802972 in words is "two million, eight hundred two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 37 59 74 107 111 118 148 177 214 222 236 321 354 428 444 642 708 1284 2183 3959 4366 6313 6549 7918 8732 11877 12626 13098 15836 18939 23754 25252 26196 37878 47508 75756 233581 467162 700743 934324 1401486 2802972