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2472888 = 23311171929
BaseRepresentation
bin1001011011101110111000
311122122011110
421123232320
51113113023
6125000320
730006405
oct11335670
94578143
102472888
111439a10
129b30a0
13687762
144852ac
1533ca93
hex25bbb8

2472888 has 128 divisors (see below), whose sum is σ = 7776000. Its totient is φ = 645120.

The previous prime is 2472857. The next prime is 2472893. The reversal of 2472888 is 8882742.

It is a super-2 number, since 2×24728882 = 12230350121088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85258 + ... + 85286.

It is an arithmetic number, because the mean of its divisors is an integer number (60750).

22472888 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 2472888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888000).

2472888 is an abundant number, since it is smaller than the sum of its proper divisors (5303112).

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

2472888 is a wasteful number, since it uses less digits than its factorization.

2472888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 81 counting only the distinct ones).

The product of its digits is 57344, while the sum is 39.

The square root of 2472888 is about 1572.5418913339. The cubic root of 2472888 is about 135.2284745646.

The spelling of 2472888 in words is "two million, four hundred seventy-two thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 17 19 22 24 29 33 34 38 44 51 57 58 66 68 76 87 88 102 114 116 132 136 152 174 187 204 209 228 232 264 319 323 348 374 408 418 456 493 551 561 627 638 646 696 748 836 957 969 986 1102 1122 1254 1276 1292 1479 1496 1653 1672 1914 1938 1972 2204 2244 2508 2552 2584 2958 3306 3553 3828 3876 3944 4408 4488 5016 5423 5916 6061 6612 7106 7656 7752 9367 10659 10846 11832 12122 13224 14212 16269 18183 18734 21318 21692 24244 28101 28424 32538 36366 37468 42636 43384 48488 56202 65076 72732 74936 85272 103037 112404 130152 145464 206074 224808 309111 412148 618222 824296 1236444 2472888