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2492194152 = 2337171276871
BaseRepresentation
bin1001010010001011…
…1101110101101000
320102200111120200010
42110202331311220
520101000203102
61051144211520
7115521205110
oct22442756550
96380446603
102492194152
111069862398
12596769ba0
133094284c6
14198dbc040
15e8bd7d6c
hex948bdd68

2492194152 has 128 divisors (see below), whose sum is σ = 7599882240. Its totient is φ = 664796160.

The previous prime is 2492194151. The next prime is 2492194193. The reversal of 2492194152 is 2514912942.

2492194152 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 2×24921941522 = 12422063382525998208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2492194152.

It is not an unprimeable number, because it can be changed into a prime (2492194151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359277 + ... + 366147.

It is an arithmetic number, because the mean of its divisors is an integer number (59374080).

Almost surely, 22492194152 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 2492194152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3799941120).

2492194152 is an abundant number, since it is smaller than the sum of its proper divisors (5107688088).

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

2492194152 is a wasteful number, since it uses less digits than its factorization.

2492194152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7031 (or 7027 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 2492194152 is about 49921.8804934269. The cubic root of 2492194152 is about 1355.7947801613.

The spelling of 2492194152 in words is "two billion, four hundred ninety-two million, one hundred ninety-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 127 136 168 204 238 254 357 381 408 476 508 714 762 889 952 1016 1428 1524 1778 2159 2667 2856 3048 3556 4318 5334 6477 6871 7112 8636 10668 12954 13742 15113 17272 20613 21336 25908 27484 30226 41226 45339 48097 51816 54968 60452 82452 90678 96194 116807 120904 144291 164904 181356 192388 233614 288582 350421 362712 384776 467228 577164 700842 817649 872617 934456 1154328 1401684 1635298 1745234 2452947 2617851 2803368 3270596 3490468 4905894 5235702 6108319 6541192 6980936 9811788 10471404 12216638 14834489 18324957 19623576 20942808 24433276 29668978 36649914 44503467 48866552 59337956 73299828 89006934 103841423 118675912 146599656 178013868 207682846 311524269 356027736 415365692 623048538 830731384 1246097076 2492194152