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75533052 = 223729101307
BaseRepresentation
bin1001000000010…
…00101011111100
312021010110212110
410200020223330
5123314024202
611254534020
71605006660
oct440105374
9167113773
1075533052
1139700111
1221367310
131285811a
14a0628a0
15697026c
hex4808afc

75533052 has 96 divisors (see below), whose sum is σ = 211115520. Its totient is φ = 20563200.

The previous prime is 75533041. The next prime is 75533063. The reversal of 75533052 is 25033557.

It is an interprime number because it is at equal distance from previous prime (75533041) and next prime (75533063).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245883 + ... + 246189.

It is an arithmetic number, because the mean of its divisors is an integer number (2199120).

Almost surely, 275533052 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 75533052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105557760).

75533052 is an abundant number, since it is smaller than the sum of its proper divisors (135582468).

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

75533052 is a wasteful number, since it uses less digits than its factorization.

75533052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 30.

The square root of 75533052 is about 8690.9753192608. The cubic root of 75533052 is about 422.7130715712.

The spelling of 75533052 in words is "seventy-five million, five hundred thirty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 101 116 174 202 203 303 307 348 404 406 606 609 614 707 812 921 1212 1218 1228 1414 1842 2121 2149 2436 2828 2929 3684 4242 4298 5858 6447 8484 8596 8787 8903 11716 12894 17574 17806 20503 25788 26709 31007 35148 35612 41006 53418 61509 62014 62321 82012 93021 106836 123018 124028 124642 186042 186963 217049 246036 249284 372084 373926 434098 651147 747852 868196 899203 1302294 1798406 2604588 2697609 3596812 5395218 6294421 10790436 12588842 18883263 25177684 37766526 75533052