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152378082 = 23223312383
BaseRepresentation
bin10010001010100…
…01101011100010
3101121201121102200
421011101223202
5303002044312
623041554030
73530122653
oct1105215342
9347647380
10152378082
11790169aa
1243045916
132575245c
141634752a
15d59e0dc
hex9151ae2

152378082 has 72 divisors (see below), whose sum is σ = 356908032. Its totient is φ = 46894320.

The previous prime is 152378069. The next prime is 152378101. The reversal of 152378082 is 280873251.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 397663 + ... + 398045.

It is an arithmetic number, because the mean of its divisors is an integer number (4957056).

Almost surely, 2152378082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152378082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178454016).

152378082 is an abundant number, since it is smaller than the sum of its proper divisors (204529950).

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

152378082 is a wasteful number, since it uses less digits than its factorization.

152378082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 152378082 is about 12344.1517327032. The cubic root of 152378082 is about 534.1224522447.

The spelling of 152378082 in words is "one hundred fifty-two million, three hundred seventy-eight thousand, eighty-two".

Divisors: 1 2 3 6 9 18 23 31 46 62 69 93 138 186 207 279 383 414 558 713 766 961 1149 1426 1922 2139 2298 2883 3447 4278 5766 6417 6894 8649 8809 11873 12834 17298 17618 22103 23746 26427 35619 44206 52854 66309 71238 79281 106857 132618 158562 198927 213714 273079 368063 397854 546158 736126 819237 1104189 1638474 2208378 2457711 3312567 4915422 6625134 8465449 16930898 25396347 50792694 76189041 152378082