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6428916 = 22331319241
BaseRepresentation
bin11000100001100011110100
3110002121211000
4120201203310
53121211131
6345443300
7105434124
oct30414364
913077730
106428916
1136a115a
1221a0530
1314412c0
14bd4c84
1586ece6
hex6218f4

6428916 has 96 divisors (see below), whose sum is σ = 18972800. Its totient is φ = 1866240.

The previous prime is 6428879. The next prime is 6428921. The reversal of 6428916 is 6198246.

6428916 is a `hidden beast` number, since 642 + 8 + 9 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26556 + ... + 26796.

Almost surely, 26428916 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 6428916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9486400).

6428916 is an abundant number, since it is smaller than the sum of its proper divisors (12543884).

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

6428916 is a wasteful number, since it uses less digits than its factorization.

6428916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 278 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 6428916 is about 2535.5307136771. The cubic root of 6428916 is about 185.9427503308.

The spelling of 6428916 in words is "six million, four hundred twenty-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 108 114 117 156 171 228 234 241 247 342 351 468 482 494 513 684 702 723 741 964 988 1026 1404 1446 1482 2052 2169 2223 2892 2964 3133 4338 4446 4579 6266 6507 6669 8676 8892 9158 9399 12532 13014 13338 13737 18316 18798 26028 26676 27474 28197 37596 41211 54948 56394 59527 82422 84591 112788 119054 123633 164844 169182 178581 238108 247266 338364 357162 494532 535743 714324 1071486 1607229 2142972 3214458 6428916