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490122444 = 2237171512273
BaseRepresentation
bin11101001101101…
…010110011001100
31021011020210121010
4131031222303030
52000432404234
6120345005220
715100654260
oct3515526314
91234223533
10490122444
11231730279
12118183810
137a7071a6
14491440a0
152d0666e9
hex1d36accc

490122444 has 96 divisors (see below), whose sum is σ = 1393652736. Its totient is φ = 130867200.

The previous prime is 490122403. The next prime is 490122463. The reversal of 490122444 is 444221094.

It is a super-2 number, since 2×4901224442 = 480440020225066272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214492 + ... + 216764.

It is an arithmetic number, because the mean of its divisors is an integer number (14517216).

Almost surely, 2490122444 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 490122444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696826368).

490122444 is an abundant number, since it is smaller than the sum of its proper divisors (903530292).

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

490122444 is a wasteful number, since it uses less digits than its factorization.

490122444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2455 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 490122444 is about 22138.7091764628. The cubic root of 490122444 is about 788.4391786012.

The spelling of 490122444 in words is "four hundred ninety million, one hundred twenty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 151 204 238 302 357 453 476 604 714 906 1057 1428 1812 2114 2273 2567 3171 4228 4546 5134 6342 6819 7701 9092 10268 12684 13638 15402 15911 17969 27276 30804 31822 35938 38641 47733 53907 63644 71876 77282 95466 107814 115923 154564 190932 215628 231846 270487 343223 463692 540974 686446 811461 1029669 1081948 1372892 1622922 2059338 2402561 3245844 4118676 4805122 5834791 7207683 9610244 11669582 14415366 17504373 23339164 28830732 35008746 40843537 70017492 81687074 122530611 163374148 245061222 490122444