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1457242930 = 251121392641
BaseRepresentation
bin101011011011011…
…1100001100110010
310202120001121111101
41112312330030302
510441023233210
6400333435014
751053234443
oct12666741462
93676047441
101457242930
11688637200
1234803ba6a
131a2ba1830
14db7732ca
1587e00a3a
hex56dbc332

1457242930 has 48 divisors (see below), whose sum is σ = 3104989272. Its totient is φ = 489139200.

The previous prime is 1457242883. The next prime is 1457242933. The reversal of 1457242930 is 392427541.

It can be written as a sum of positive squares in 4 ways, for example, as 1316891521 + 140351409 = 36289^2 + 11847^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1457242930.

It is not an unprimeable number, because it can be changed into a prime (1457242933) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 30591 + ... + 62050.

Almost surely, 21457242930 is an apocalyptic number.

1457242930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1457242930 is an abundant number, since it is smaller than the sum of its proper divisors (1647746342).

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

1457242930 is a wasteful number, since it uses less digits than its factorization.

1457242930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92683 (or 92672 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 1457242930 is about 38173.8513907098. The cubic root of 1457242930 is about 1133.7326458163.

The spelling of 1457242930 in words is "one billion, four hundred fifty-seven million, two hundred forty-two thousand, nine hundred thirty".

Divisors: 1 2 5 10 11 13 22 26 55 65 110 121 130 143 242 286 605 715 1210 1430 1573 3146 7865 15730 92641 185282 463205 926410 1019051 1204333 2038102 2408666 5095255 6021665 10190510 11209561 12043330 13247663 22419122 26495326 56047805 66238315 112095610 132476630 145724293 291448586 728621465 1457242930