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533439072 = 253231149401
BaseRepresentation
bin11111110010111…
…010001001100000
31101011202111211200
4133302322021200
52043030022242
6124533241200
716135104645
oct3762721140
91334674750
10533439072
11254126741
1212a793200
138669252a
1450bbbdcc
1531c7104c
hex1fcba260

533439072 has 144 divisors (see below), whose sum is σ = 1580342400. Its totient is φ = 170496000.

The previous prime is 533439043. The next prime is 533439097. The reversal of 533439072 is 270934335.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 1330072 + ... + 1330472.

It is an arithmetic number, because the mean of its divisors is an integer number (10974600).

Almost surely, 2533439072 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 533439072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790171200).

533439072 is an abundant number, since it is smaller than the sum of its proper divisors (1046903328).

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

533439072 is a wasteful number, since it uses less digits than its factorization.

533439072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 533439072 is about 23096.2999634141. The cubic root of 533439072 is about 811.0138561958.

The spelling of 533439072 in words is "five hundred thirty-three million, four hundred thirty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 149 186 248 279 288 298 372 401 447 496 558 596 744 802 894 992 1116 1192 1203 1341 1488 1604 1788 2232 2384 2406 2682 2976 3208 3576 3609 4464 4619 4768 4812 5364 6416 7152 7218 8928 9238 9624 10728 12431 12832 13857 14304 14436 18476 19248 21456 24862 27714 28872 36952 37293 38496 41571 42912 49724 55428 57744 59749 73904 74586 83142 99448 110856 111879 115488 119498 147808 149172 166284 179247 198896 221712 223758 238996 298344 332568 358494 397792 443424 447516 477992 537741 596688 665136 716988 895032 955984 1075482 1193376 1330272 1433976 1790064 1852219 1911968 2150964 2867952 3580128 3704438 4301928 5556657 5735904 7408876 8603856 11113314 14817752 16669971 17207712 22226628 29635504 33339942 44453256 59271008 66679884 88906512 133359768 177813024 266719536 533439072