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5457408 = 293111719
BaseRepresentation
bin10100110100011000000000
3101021021011020
4110310120000
52344114113
6312545440
764246545
oct24643000
911237136
105457408
113098260
1219b2280
131191048
14a20bcc
1572c023
hex534600

5457408 has 160 divisors (see below), whose sum is σ = 17677440. Its totient is φ = 1474560.

The previous prime is 5457383. The next prime is 5457421. The reversal of 5457408 is 8047545.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287223 + ... + 287241.

It is an arithmetic number, because the mean of its divisors is an integer number (110484).

Almost surely, 25457408 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 5457408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8838720).

5457408 is an abundant number, since it is smaller than the sum of its proper divisors (12220032).

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

5457408 is a wasteful number, since it uses less digits than its factorization.

5457408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 5457408 is about 2336.1095864706. The cubic root of 5457408 is about 176.0605852027.

The spelling of 5457408 in words is "five million, four hundred fifty-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 19 22 24 32 33 34 38 44 48 51 57 64 66 68 76 88 96 102 114 128 132 136 152 176 187 192 204 209 228 256 264 272 304 323 352 374 384 408 418 456 512 528 544 561 608 627 646 704 748 768 816 836 912 969 1056 1088 1122 1216 1254 1292 1408 1496 1536 1632 1672 1824 1938 2112 2176 2244 2432 2508 2584 2816 2992 3264 3344 3553 3648 3876 4224 4352 4488 4864 5016 5168 5632 5984 6528 6688 7106 7296 7752 8448 8704 8976 9728 10032 10336 10659 11968 13056 13376 14212 14592 15504 16896 17952 20064 20672 21318 23936 26112 26752 28424 29184 31008 35904 40128 41344 42636 47872 53504 56848 62016 71808 80256 82688 85272 95744 107008 113696 124032 143616 160512 165376 170544 227392 248064 287232 321024 341088 454784 496128 682176 909568 1364352 1819136 2728704 5457408