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2494920090 = 235138971879
BaseRepresentation
bin1001010010110101…
…0111010110011010
320102212122001221210
42110231113112122
520102144420330
61051322443550
7115553320335
oct22455272632
96385561853
102494920090
111070354433
125976635b6
13309b711a0
141994cb61c
15e90758b0
hex94b5759a

2494920090 has 64 divisors (see below), whose sum is σ = 6520953600. Its totient is φ = 607225344.

The previous prime is 2494920073. The next prime is 2494920091. The reversal of 2494920090 is 900294942.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2494920091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1230 + ... + 70649.

It is an arithmetic number, because the mean of its divisors is an integer number (101889900).

Almost surely, 22494920090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2494920090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3260476800).

2494920090 is an abundant number, since it is smaller than the sum of its proper divisors (4026033510).

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

2494920090 is a wasteful number, since it uses less digits than its factorization.

2494920090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71991.

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 2494920090 is about 49949.1750682631. The cubic root of 2494920090 is about 1356.2889184752.

The spelling of 2494920090 in words is "two billion, four hundred ninety-four million, nine hundred twenty thousand, ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 89 130 178 195 267 390 445 534 890 1157 1335 2314 2670 3471 5785 6942 11570 17355 34710 71879 143758 215637 359395 431274 718790 934427 1078185 1868854 2156370 2803281 4672135 5606562 6397231 9344270 12794462 14016405 19191693 28032810 31986155 38383386 63972310 83164003 95958465 166328006 191916930 249492009 415820015 498984018 831640030 1247460045 2494920090