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2913002472 = 2334716072
BaseRepresentation
bin1010110110100000…
…1110001111101000
321112000022212011110
42231220032033220
521431212034342
61201015430320
7132121053402
oct25550161750
97460285143
102913002472
11126534a966
126936853a0
13375674103
141d8c3bb72
15120b0bc9c
hexada0e3e8

2913002472 has 48 divisors (see below), whose sum is σ = 7442084160. Its totient is φ = 949749856.

The previous prime is 2913002459. The next prime is 2913002473. The reversal of 2913002472 is 2742003192.

2913002472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×29130024722 = 16971166803756221568, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2913002473) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1811893 + ... + 1813499.

It is an arithmetic number, because the mean of its divisors is an integer number (155043420).

Almost surely, 22913002472 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 2913002472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3721042080).

2913002472 is an abundant number, since it is smaller than the sum of its proper divisors (4529081688).

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

2913002472 is an equidigital number, since it uses as much as digits as its factorization.

2913002472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3270 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 2913002472 is about 53972.2379747218. The cubic root of 2913002472 is about 1428.1712440481.

The spelling of 2913002472 in words is "two billion, nine hundred thirteen million, two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1128 1607 3214 4821 6428 9642 12856 19284 38568 75529 151058 226587 302116 453174 604232 906348 1812696 2582449 5164898 7747347 10329796 15494694 20659592 30989388 61978776 121375103 242750206 364125309 485500412 728250618 971000824 1456501236 2913002472