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460624990 = 2573134293
BaseRepresentation
bin11011011101001…
…001010001011110
31012002202011200211
4123131021101132
51420404444430
6113412443034
714262151000
oct3335112136
91162664624
10460624990
11217013411
1210a31947a
1374579b87
1445266370
152a68b72a
hex1b74945e

460624990 has 32 divisors (see below), whose sum is σ = 966916800. Its totient is φ = 157927392.

The previous prime is 460624937. The next prime is 460624991. The reversal of 460624990 is 99426064.

It is a super-3 number, since 3×4606249903 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460624991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63717 + ... + 70576.

It is an arithmetic number, because the mean of its divisors is an integer number (30216150).

Almost surely, 2460624990 is an apocalyptic number.

460624990 is an abundant number, since it is smaller than the sum of its proper divisors (506291810).

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

460624990 is a wasteful number, since it uses less digits than its factorization.

460624990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134321 (or 134307 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 460624990 is about 21462.1757983668. The cubic root of 460624990 is about 772.2937115658.

The spelling of 460624990 in words is "four hundred sixty million, six hundred twenty-four thousand, nine hundred ninety".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 343 490 686 1715 3430 134293 268586 671465 940051 1342930 1880102 4700255 6580357 9400510 13160714 32901785 46062499 65803570 92124998 230312495 460624990