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457062138 = 2321319223461
BaseRepresentation
bin11011001111100…
…011011011111010
31011212001011101100
4123033203123322
51414001442023
6113204232230
714216651451
oct3317433372
91155034340
10457062138
11214aaa605
1210909b676
1373900290
14449b9b98
152a1d5c43
hex1b3e36fa

457062138 has 96 divisors (see below), whose sum is σ = 1130088960. Its totient is φ = 132347520.

The previous prime is 457062121. The next prime is 457062173. The reversal of 457062138 is 831260754.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 991228 + ... + 991688.

It is an arithmetic number, because the mean of its divisors is an integer number (11771760).

Almost surely, 2457062138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457062138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565044480).

457062138 is an abundant number, since it is smaller than the sum of its proper divisors (673026822).

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

457062138 is a wasteful number, since it uses less digits than its factorization.

457062138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 457062138 is about 21379.0116235527. The cubic root of 457062138 is about 770.2973709460.

The spelling of 457062138 in words is "four hundred fifty-seven million, sixty-two thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 223 234 247 342 446 461 494 669 741 922 1338 1383 1482 2007 2223 2766 2899 4014 4149 4237 4446 5798 5993 8298 8474 8697 8759 11986 12711 17394 17518 17979 25422 26091 26277 35958 38133 52182 52554 53937 55081 76266 78831 102803 107874 110162 113867 157662 165243 205606 227734 308409 330486 341601 495729 616818 683202 925227 991458 1024803 1336439 1850454 1953257 2049606 2672878 3906514 4009317 5859771 8018634 11719542 12027951 17579313 24055902 25392341 35158626 50784682 76177023 152354046 228531069 457062138