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75650652 = 22337112827
BaseRepresentation
bin1001000001001…
…01011001011100
312021100110012000
410200211121130
5123331310102
611301242300
71606006560
oct440453134
9167313160
1075650652
1139780500
1221403390
13128997cc
14a0936a0
15699501c
hex482565c

75650652 has 144 divisors (see below), whose sum is σ = 246677760. Its totient is φ = 19625760.

The previous prime is 75650621. The next prime is 75650669. The reversal of 75650652 is 25605657.

It is a super-2 number, since 2×756506522 = 11446042296050208, which contains 22 as substring.

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91063 + ... + 91889.

It is an arithmetic number, because the mean of its divisors is an integer number (1713040).

Almost surely, 275650652 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 75650652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123338880).

75650652 is an abundant number, since it is smaller than the sum of its proper divisors (171027108).

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

75650652 is a wasteful number, since it uses less digits than its factorization.

75650652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 75650652 is about 8697.7383267146. The cubic root of 75650652 is about 422.9323366445.

The spelling of 75650652 in words is "seventy-five million, six hundred fifty thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 121 126 132 154 189 198 231 242 252 297 308 363 378 396 462 484 594 693 726 756 827 847 924 1089 1188 1386 1452 1654 1694 2079 2178 2481 2541 2772 3267 3308 3388 4158 4356 4962 5082 5789 6534 7443 7623 8316 9097 9924 10164 11578 13068 14886 15246 17367 18194 22329 22869 23156 27291 29772 30492 34734 36388 44658 45738 52101 54582 63679 69468 81873 89316 91476 100067 104202 109164 127358 156303 163746 191037 200134 208404 245619 254716 300201 312606 327492 382074 400268 491238 573111 600402 625212 700469 764148 900603 982476 1146222 1200804 1400938 1719333 1801206 2101407 2292444 2701809 2801876 3438666 3602412 4202814 5403618 6304221 6877332 8405628 10807236 12608442 18912663 25216884 37825326 75650652