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458993412 = 223319223681
BaseRepresentation
bin11011010110111…
…010111100000100
31011222200021121000
4123112322330010
51420000242122
6113313453300
714242244133
oct3326727404
91158607530
10458993412
112160a95a9
12109871230
1374128347
1444d5d91a
152a4680ac
hex1b5baf04

458993412 has 48 divisors (see below), whose sum is σ = 1252619200. Its totient is φ = 144944640.

The previous prime is 458993407. The next prime is 458993419. The reversal of 458993412 is 214399854.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (458993419) 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, 109789 + ... + 113892.

Almost surely, 2458993412 is an apocalyptic number.

It is an amenable number.

458993412 is an abundant number, since it is smaller than the sum of its proper divisors (793625788).

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

458993412 is a wasteful number, since it uses less digits than its factorization.

458993412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223713 (or 223705 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 458993412 is about 21424.1315343236. The cubic root of 458993412 is about 771.3807866345.

The spelling of 458993412 in words is "four hundred fifty-eight million, nine hundred ninety-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 223681 447362 671043 894724 1342086 2013129 2684172 4026258 4249939 6039387 8052516 8499878 12078774 12749817 16999756 24157548 25499634 38249451 50999268 76498902 114748353 152997804 229496706 458993412