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1457084642 = 213292371801
BaseRepresentation
bin101011011011001…
…0101100011100010
310202112202120100212
41112312111203202
510441003202032
6400330214122
751052005116
oct12666254342
93675676325
101457084642
11688539292
12347b84342
131a2b47780
14db731746
1587dbdbb2
hex56d958e2

1457084642 has 48 divisors (see below), whose sum is σ = 2504989032. Its totient is φ = 631411200.

The previous prime is 1457084581. The next prime is 1457084677. The reversal of 1457084642 is 2464807541.

It can be written as a sum of positive squares in 12 ways, for example, as 82973881 + 1374110761 = 9109^2 + 37069^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1457084642.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 808142 + ... + 809942.

Almost surely, 21457084642 is an apocalyptic number.

1457084642 is a deficient number, since it is larger than the sum of its proper divisors (1047904390).

1457084642 is a wasteful number, since it uses less digits than its factorization.

1457084642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 41.

The square root of 1457084642 is about 38171.7780827669. The cubic root of 1457084642 is about 1133.6915950605.

The spelling of 1457084642 in words is "one billion, four hundred fifty-seven million, eighty-four thousand, six hundred forty-two".

Divisors: 1 2 13 26 29 37 58 74 377 481 754 841 962 1073 1682 1801 2146 3602 10933 13949 21866 23413 27898 31117 46826 52229 62234 66637 104458 133274 404521 678977 809042 866281 1357954 1514641 1732562 1932473 3029282 3864946 19690333 25122149 39380666 50244298 56041717 112083434 728542321 1457084642