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2957157672 = 233735949031
BaseRepresentation
bin1011000001000010…
…1010010100101000
321122002102011201020
42300100222110220
522024013021142
61205234052440
7133165265640
oct26020522450
97562364636
102957157672
111288269367
126a641a120
13381864051
14200a53520
1512492ecec
hexb042a528

2957157672 has 64 divisors (see below), whose sum is σ = 8472729600. Its totient is φ = 842531520.

The previous prime is 2957157661. The next prime is 2957157751. The reversal of 2957157672 is 2767517592.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35797 + ... + 84827.

It is an arithmetic number, because the mean of its divisors is an integer number (132386400).

Almost surely, 22957157672 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 2957157672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4236364800).

2957157672 is an abundant number, since it is smaller than the sum of its proper divisors (5515571928).

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

2957157672 is a wasteful number, since it uses less digits than its factorization.

2957157672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49406 (or 49402 counting only the distinct ones).

The product of its digits is 1852200, while the sum is 51.

The square root of 2957157672 is about 54379.7542473300. The cubic root of 2957157672 is about 1435.3511460436.

The spelling of 2957157672 in words is "two billion, nine hundred fifty-seven million, one hundred fifty-seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 359 718 1077 1436 2154 2513 2872 4308 5026 7539 8616 10052 15078 20104 30156 49031 60312 98062 147093 196124 294186 343217 392248 588372 686434 1029651 1176744 1372868 2059302 2745736 4118604 8237208 17602129 35204258 52806387 70408516 105612774 123214903 140817032 211225548 246429806 369644709 422451096 492859612 739289418 985719224 1478578836 2957157672