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1457464740 = 2235171428887
BaseRepresentation
bin101011011011111…
…0010010110100100
310202120110212202120
41112313302112210
510441102332430
6400342305540
751055150224
oct12667622644
93676425676
101457464740
11688778916
123481282b0
131a2c4b794
14db7d0084
1587e46610
hex56df25a4

1457464740 has 48 divisors (see below), whose sum is σ = 4320957312. Its totient is φ = 365794816.

The previous prime is 1457464739. The next prime is 1457464769. The reversal of 1457464740 is 474647541.

It is a junction number, because it is equal to n+sod(n) for n = 1457464692 and 1457464701.

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 15 ways as a sum of consecutive naturals, for example, 713424 + ... + 715463.

It is an arithmetic number, because the mean of its divisors is an integer number (90019944).

Almost surely, 21457464740 is an apocalyptic number.

1457464740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1457464740 is an abundant number, since it is smaller than the sum of its proper divisors (2863492572).

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

1457464740 is a wasteful number, since it uses less digits than its factorization.

1457464740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428916 (or 1428914 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The square root of 1457464740 is about 38176.7565411207. The cubic root of 1457464740 is about 1133.7901655053.

The spelling of 1457464740 in words is "one billion, four hundred fifty-seven million, four hundred sixty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 1428887 2857774 4286661 5715548 7144435 8573322 14288870 17146644 21433305 24291079 28577740 42866610 48582158 72873237 85733220 97164316 121455395 145746474 242910790 291492948 364366185 485821580 728732370 1457464740