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457981040 = 24511520433
BaseRepresentation
bin11011010011000…
…011110001110000
31011220202211212202
4123103003301300
51414220343130
6113240042332
714230526456
oct3323036160
91156684782
10457981040
11215577a30
121094633a8
1373b625ca
1444b789d6
152a318145
hex1b4c3c70

457981040 has 40 divisors (see below), whose sum is σ = 1161608688. Its totient is φ = 166538240.

The previous prime is 457981009. The next prime is 457981067. The reversal of 457981040 is 40189754.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 457980985 and 457981003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259337 + ... + 261096.

Almost surely, 2457981040 is an apocalyptic number.

457981040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457981040 is an abundant number, since it is smaller than the sum of its proper divisors (703627648).

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

457981040 is a wasteful number, since it uses less digits than its factorization.

457981040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520457 (or 520451 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 457981040 is about 21400.4915831389. The cubic root of 457981040 is about 770.8132409729.

The spelling of 457981040 in words is "four hundred fifty-seven million, nine hundred eighty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 520433 1040866 2081732 2602165 4163464 5204330 5724763 8326928 10408660 11449526 20817320 22899052 28623815 41634640 45798104 57247630 91596208 114495260 228990520 457981040