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2497993992 = 2334131915607
BaseRepresentation
bin1001010011100100…
…0101110100001000
320110002102020120000
42110321011310020
520103441301432
61051512403000
7115621412214
oct22471056410
96402366500
102497993992
11107206394a
125986a6460
1330a6a9370
14199a8b944
15e948157c
hex94e45d08

2497993992 has 160 divisors (see below), whose sum is σ = 7931985600. Its totient is φ = 728113536.

The previous prime is 2497993961. The next prime is 2497994029. The reversal of 2497993992 is 2993997942.

It is a happy 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 39 ways as a sum of consecutive naturals, for example, 152253 + ... + 167859.

It is an arithmetic number, because the mean of its divisors is an integer number (49574910).

Almost surely, 22497993992 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 2497993992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965992800).

2497993992 is an abundant number, since it is smaller than the sum of its proper divisors (5433991608).

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

2497993992 is a wasteful number, since it uses less digits than its factorization.

2497993992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15657 (or 15644 counting only the distinct ones).

The product of its digits is 19840464, while the sum is 63.

The square root of 2497993992 is about 49979.9358943166. The cubic root of 2497993992 is about 1356.8457015972.

The spelling of 2497993992 in words is "two billion, four hundred ninety-seven million, nine hundred ninety-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 52 54 57 72 76 78 81 104 108 114 117 152 156 162 171 216 228 234 247 312 324 342 351 456 468 494 513 648 684 702 741 936 988 1026 1053 1368 1404 1482 1539 1976 2052 2106 2223 2808 2964 3078 4104 4212 4446 5928 6156 6669 8424 8892 12312 13338 15607 17784 20007 26676 31214 40014 46821 53352 62428 80028 93642 124856 140463 160056 187284 202891 280926 296533 374568 405782 421389 561852 593066 608673 811564 842778 889599 1123704 1186132 1217346 1264167 1623128 1685556 1779198 1826019 2372264 2434692 2528334 2668797 3371112 3558396 3652038 3854929 4869384 5056668 5337594 5478057 7116792 7304076 7709858 8006391 10113336 10675188 10956114 11564787 14608152 15419716 16012782 16434171 21350376 21912228 23129574 24019173 30839432 32025564 32868342 34694361 43824456 46259148 48038346 64051128 65736684 69388722 92518296 96076692 104083083 131473368 138777444 192153384 208166166 277554888 312249249 416332332 624498498 832664664 1248996996 2497993992