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28333152 = 253417643
BaseRepresentation
bin110110000010…
…1010001100000
31222022110210000
41230011101200
524223130102
62451140000
7462553641
oct154052140
958273700
1028333152
1114aa2131
1295a4600
135b403a3
143a976c8
15274a01c
hex1b05460

28333152 has 120 divisors (see below), whose sum is σ = 88365816. Its totient is φ = 8875008.

The previous prime is 28333147. The next prime is 28333159. The reversal of 28333152 is 25133382.

28333152 is a `hidden beast` number, since 283 + 331 + 52 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28333159) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43743 + ... + 44385.

Almost surely, 228333152 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 28333152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44182908).

28333152 is an abundant number, since it is smaller than the sum of its proper divisors (60032664).

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

28333152 is a wasteful number, since it uses less digits than its factorization.

28333152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 665 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 28333152 is about 5322.8894408958. The cubic root of 28333152 is about 304.8584920915.

The spelling of 28333152 in words is "twenty-eight million, three hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 272 288 306 324 408 432 459 544 612 643 648 816 864 918 1224 1286 1296 1377 1632 1836 1929 2448 2572 2592 2754 3672 3858 4896 5144 5508 5787 7344 7716 10288 10931 11016 11574 14688 15432 17361 20576 21862 22032 23148 30864 32793 34722 43724 44064 46296 52083 61728 65586 69444 87448 92592 98379 104166 131172 138888 174896 185184 196758 208332 262344 277776 295137 349792 393516 416664 524688 555552 590274 787032 833328 885411 1049376 1180548 1574064 1666656 1770822 2361096 3148128 3541644 4722192 7083288 9444384 14166576 28333152