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457389036 = 22321335783
BaseRepresentation
bin11011010000110…
…011001111101100
31011212122202210200
4123100303033230
51414042422121
6113215233500
714222512506
oct3320631754
91155582720
10457389036
11215203175
12109218890
13739b6000
1444a62d76
152a24ca26
hex1b4333ec

457389036 has 72 divisors (see below), whose sum is σ = 1252698720. Its totient is φ = 140710752.

The previous prime is 457389001. The next prime is 457389059. The reversal of 457389036 is 630983754.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 457388982 and 457389000.

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, 76201 + ... + 81983.

Almost surely, 2457389036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457389036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626349360).

457389036 is an abundant number, since it is smaller than the sum of its proper divisors (795309684).

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

457389036 is a wasteful number, since it uses less digits than its factorization.

457389036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5832 (or 5801 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 457389036 is about 21386.6555590162. The cubic root of 457389036 is about 770.4809700969.

The spelling of 457389036 in words is "four hundred fifty-seven million, three hundred eighty-nine thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 2197 3042 4394 5783 6084 6591 8788 11566 13182 17349 19773 23132 26364 34698 39546 52047 69396 75179 79092 104094 150358 208188 225537 300716 451074 676611 902148 977327 1353222 1954654 2706444 2931981 3909308 5863962 8795943 11727924 12705251 17591886 25410502 35183772 38115753 50821004 76231506 114347259 152463012 228694518 457389036