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2732975872 = 28113131307
BaseRepresentation
bin1010001011100101…
…1110011100000000
321001110120120002121
42202321132130000
521044120211442
61131105054024
7124503624454
oct24271363400
97043516077
102732975872
11118276a250
12643327314
133472910b3
141bcd78664
1510edea967
hexa2e5e700

2732975872 has 72 divisors (see below), whose sum is σ = 6143380992. Its totient is φ = 1202150400.

The previous prime is 2732975837. The next prime is 2732975891. The reversal of 2732975872 is 2785792372.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71643 + ... + 102949.

It is an arithmetic number, because the mean of its divisors is an integer number (85324736).

Almost surely, 22732975872 is an apocalyptic number.

2732975872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2732975872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071690496).

2732975872 is an abundant number, since it is smaller than the sum of its proper divisors (3410405120).

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

2732975872 is a wasteful number, since it uses less digits than its factorization.

2732975872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31365 (or 31351 counting only the distinct ones).

The product of its digits is 2963520, while the sum is 52.

The square root of 2732975872 is about 52277.8717240861. The cubic root of 2732975872 is about 1398.1226319168.

The spelling of 2732975872 in words is "two billion, seven hundred thirty-two million, nine hundred seventy-five thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 256 341 352 496 682 704 992 1364 1408 1984 2728 2816 3968 5456 7936 10912 21824 31307 43648 62614 87296 125228 250456 344377 500912 688754 970517 1001824 1377508 1941034 2003648 2755016 3882068 4007296 5510032 7764136 8014592 10675687 11020064 15528272 21351374 22040128 31056544 42702748 44080256 62113088 85405496 88160512 124226176 170810992 248452352 341621984 683243968 1366487936 2732975872