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457262540 = 225723142007
BaseRepresentation
bin11011010000010…
…100010111001100
31011212102100021122
4123100110113030
51414024400130
6113212420112
714221444640
oct3320242714
91155370248
10457262540
11215127129
12109177638
1373970567
1444a2cc20
152a2252e5
hex1b4145cc

457262540 has 48 divisors (see below), whose sum is σ = 1145152512. Its totient is φ = 149958336.

The previous prime is 457262537. The next prime is 457262557. The reversal of 457262540 is 45262754.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 457262540.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67784 + ... + 74223.

It is an arithmetic number, because the mean of its divisors is an integer number (23857344).

Almost surely, 2457262540 is an apocalyptic number.

It is an amenable number.

457262540 is an abundant number, since it is smaller than the sum of its proper divisors (687889972).

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

457262540 is a wasteful number, since it uses less digits than its factorization.

457262540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142046 (or 142044 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 35.

The square root of 457262540 is about 21383.6979963710. The cubic root of 457262540 is about 770.4099352015.

The spelling of 457262540 in words is "four hundred fifty-seven million, two hundred sixty-two thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 3220 142007 284014 568028 710035 994049 1420070 1988098 2840140 3266161 3976196 4970245 6532322 9940490 13064644 16330805 19880980 22863127 32661610 45726254 65323220 91452508 114315635 228631270 457262540