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28100736 = 273347173
BaseRepresentation
bin110101100110…
…0100010000000
31221212122222000
41223030202000
524143210421
62442144000
7460565226
oct153144200
957778860
1028100736
1114953554
1294b2000
135a8b671
143a36b16
152701226
hex1acc880

28100736 has 128 divisors (see below), whose sum is σ = 85190400. Its totient is φ = 9114624.

The previous prime is 28100719. The next prime is 28100741. The reversal of 28100736 is 63700182.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 162346 + ... + 162518.

It is an arithmetic number, because the mean of its divisors is an integer number (665550).

Almost surely, 228100736 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 28100736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42595200).

28100736 is an abundant number, since it is smaller than the sum of its proper divisors (57089664).

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

28100736 is a wasteful number, since it uses less digits than its factorization.

28100736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 28100736 is about 5301.0127334312. The cubic root of 28100736 is about 304.0226206621.

The spelling of 28100736 in words is "twenty-eight million, one hundred thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 94 96 108 128 141 144 173 188 192 216 282 288 346 376 384 423 432 519 564 576 692 752 846 864 1038 1128 1152 1269 1384 1504 1557 1692 1728 2076 2256 2538 2768 3008 3114 3384 3456 4152 4512 4671 5076 5536 6016 6228 6768 8131 8304 9024 9342 10152 11072 12456 13536 16262 16608 18048 18684 20304 22144 24393 24912 27072 32524 33216 37368 40608 48786 49824 54144 65048 66432 73179 74736 81216 97572 99648 130096 146358 149472 162432 195144 199296 219537 260192 292716 298944 390288 439074 520384 585432 597888 780576 878148 1040768 1170864 1561152 1756296 2341728 3122304 3512592 4683456 7025184 9366912 14050368 28100736