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16427628 = 22327194773
BaseRepresentation
bin111110101010…
…101001101100
31010220121110200
4332222221230
513201141003
61344033500
7256426650
oct76525154
933817420
1016427628
119300358
125602890
1335323b9
142278a60
1516976a3
hexfaaa6c

16427628 has 144 divisors (see below), whose sum is σ = 51717120. Its totient is φ = 4292352.

The previous prime is 16427611. The next prime is 16427639. The reversal of 16427628 is 82672461.

16427628 is a `hidden beast` number, since 1 + 6 + 4 + 27 + 628 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 16427592 and 16427601.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225000 + ... + 225072.

Almost surely, 216427628 is an apocalyptic number.

16427628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16427628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25858560).

16427628 is an abundant number, since it is smaller than the sum of its proper divisors (35289492).

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

16427628 is a wasteful number, since it uses less digits than its factorization.

16427628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 151 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 16427628 is about 4053.1010350101. The cubic root of 16427628 is about 254.2094083932.

The spelling of 16427628 in words is "sixteen million, four hundred twenty-seven thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 47 57 63 73 76 84 94 114 126 133 141 146 171 188 219 228 252 266 282 292 329 342 399 423 438 511 532 564 657 658 684 798 846 876 893 987 1022 1197 1314 1316 1387 1533 1596 1692 1786 1974 2044 2394 2628 2679 2774 2961 3066 3431 3572 3948 4161 4599 4788 5358 5548 5922 6132 6251 6862 8037 8322 9198 9709 10293 10716 11844 12483 12502 13724 16074 16644 18396 18753 19418 20586 24017 24966 25004 29127 30879 32148 37506 38836 41172 48034 49932 56259 58254 61758 65189 72051 75012 87381 96068 112518 116508 123516 130378 144102 174762 195567 216153 225036 260756 288204 349524 391134 432306 456323 586701 782268 864612 912646 1173402 1368969 1825292 2346804 2737938 4106907 5475876 8213814 16427628