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2831472 = 24327532
BaseRepresentation
bin1010110011010001110000
312022212001100
422303101300
51211101342
6140404400
733032010
oct12632160
95285040
102831472
111664366
12b46700
13781a37
14539c40
153ade4c
hex2b3470

2831472 has 90 divisors (see below), whose sum is σ = 9230312. Its totient is φ = 793728.

The previous prime is 2831471. The next prime is 2831489. The reversal of 2831472 is 2741382.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2831471) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 53398 + ... + 53450.

22831472 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 2831472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4615156).

2831472 is an abundant number, since it is smaller than the sum of its proper divisors (6398840).

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

2831472 is a wasteful number, since it uses less digits than its factorization.

2831472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 65 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 2831472 is about 1682.6978338371. The cubic root of 2831472 is about 141.4720859586.

The spelling of 2831472 in words is "two million, eight hundred thirty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 53 56 63 72 84 106 112 126 144 159 168 212 252 318 336 371 424 477 504 636 742 848 954 1008 1113 1272 1484 1908 2226 2544 2809 2968 3339 3816 4452 5618 5936 6678 7632 8427 8904 11236 13356 16854 17808 19663 22472 25281 26712 33708 39326 44944 50562 53424 58989 67416 78652 101124 117978 134832 157304 176967 202248 235956 314608 353934 404496 471912 707868 943824 1415736 2831472