Search a number
-
+
457040600 = 23529772339
BaseRepresentation
bin11011001111011…
…110001011011000
31011212000001211122
4123033132023120
51414000244400
6113203544412
714216531612
oct3317361330
91155001748
10457040600
11214a95405
1210908b108
13738c3533
14449b1db2
152a1ce685
hex1b3de2d8

457040600 has 48 divisors (see below), whose sum is σ = 1064161800. Its totient is φ = 182551040.

The previous prime is 457040581. The next prime is 457040621. The reversal of 457040600 is 6040754.

It is a super-2 number, since 2×4570406002 = 417772220096720000, 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 457040600.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 194231 + ... + 196569.

Almost surely, 2457040600 is an apocalyptic number.

457040600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457040600 is an abundant number, since it is smaller than the sum of its proper divisors (607121200).

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

457040600 is a wasteful number, since it uses less digits than its factorization.

457040600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3332 (or 3323 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 457040600 is about 21378.5078992899. The cubic root of 457040600 is about 770.2852712597.

The spelling of 457040600 in words is "four hundred fifty-seven million, forty thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 977 1954 2339 3908 4678 4885 7816 9356 9770 11695 18712 19540 23390 24425 39080 46780 48850 58475 93560 97700 116950 195400 233900 467800 2285203 4570406 9140812 11426015 18281624 22852030 45704060 57130075 91408120 114260150 228520300 457040600