Search a number
-
+
457668848 = 24713615153
BaseRepresentation
bin11011010001110…
…111100011110000
31011220011222122002
4123101313203300
51414130400343
6113225233132
714225056340
oct3321674360
91156158562
10457668848
1121538441a
121093327a8
1373a83490
1444ad6d20
152a2a58b8
hex1b4778f0

457668848 has 80 divisors (see below), whose sum is σ = 1109470656. Its totient is φ = 178053120.

The previous prime is 457668829. The next prime is 457668851. The reversal of 457668848 is 848866754.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 457668793 and 457668802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86240 + ... + 91392.

Almost surely, 2457668848 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 457668848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554735328).

457668848 is an abundant number, since it is smaller than the sum of its proper divisors (651801808).

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

457668848 is a wasteful number, since it uses less digits than its factorization.

457668848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5242 (or 5236 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 56.

The square root of 457668848 is about 21393.1963016282. The cubic root of 457668848 is about 770.6380543702.

The spelling of 457668848 in words is "four hundred fifty-seven million, six hundred sixty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 61 91 104 112 122 182 208 244 364 427 488 728 793 854 976 1456 1586 1708 3172 3416 5153 5551 6344 6832 10306 11102 12688 20612 22204 36071 41224 44408 66989 72142 82448 88816 133978 144284 267956 288568 314333 468923 535912 577136 628666 937846 1071824 1257332 1875692 2200331 2514664 3751384 4086329 4400662 5029328 7502768 8172658 8801324 16345316 17602648 28604303 32690632 35205296 57208606 65381264 114417212 228834424 457668848