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152088035 = 51117297179
BaseRepresentation
bin10010001000010…
…10110111100011
3101121011212120012
421010022313203
5302413304120
623031435135
73524504231
oct1104126743
9347155505
10152088035
1178938aa0
1242b25aab
1325680428
14162ad951
15d5431c5
hex910ade3

152088035 has 64 divisors (see below), whose sum is σ = 223948800. Its totient is φ = 97843200.

The previous prime is 152088031. The next prime is 152088043. The reversal of 152088035 is 530880251.

It is a happy number.

It is not a de Polignac number, because 152088035 - 22 = 152088031 is a prime.

It is a super-2 number, since 2×1520880352 = 46261540780322450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 152087992 and 152088010.

It is not an unprimeable number, because it can be changed into a prime (152088031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1925126 + ... + 1925204.

It is an arithmetic number, because the mean of its divisors is an integer number (3499200).

Almost surely, 2152088035 is an apocalyptic number.

152088035 is a deficient number, since it is larger than the sum of its proper divisors (71860765).

152088035 is a wasteful number, since it uses less digits than its factorization.

152088035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212.

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 152088035 is about 12332.3977798318. The cubic root of 152088035 is about 533.7833417627.

The spelling of 152088035 in words is "one hundred fifty-two million, eighty-eight thousand, thirty-five".

Divisors: 1 5 11 17 29 55 71 79 85 145 187 319 355 395 493 781 869 935 1207 1343 1595 2059 2291 2465 3905 4345 5423 5609 6035 6715 10295 11455 13277 14773 22649 25201 27115 28045 35003 38947 61699 66385 73865 95353 113245 126005 162661 175015 194735 308495 385033 428417 476765 813305 1048883 1789271 1925165 2142085 2765237 5244415 8946355 13826185 30417607 152088035