Search a number
-
+
152551331 = 472531303
BaseRepresentation
bin10010001011110…
…11111110100011
3101122001102002022
421011323332203
5303023120311
623045412055
73531444032
oct1105737643
9348042068
10152551331
1179125089
124310a02b
13257b327a
1416390719
15d5d55db
hex917bfa3

152551331 has 12 divisors (see below), whose sum is σ = 158928912. Its totient is φ = 146376048.

The previous prime is 152551307. The next prime is 152551337. The reversal of 152551331 is 133155251.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-152551331 is a prime.

It is a super-2 number, since 2×1525513312 = 46543817179743122, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 152551331.

It is not an unprimeable number, because it can be changed into a prime (152551337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116426 + ... + 117728.

It is an arithmetic number, because the mean of its divisors is an integer number (13244076).

Almost surely, 2152551331 is an apocalyptic number.

152551331 is a deficient number, since it is larger than the sum of its proper divisors (6377581).

152551331 is an equidigital number, since it uses as much as digits as its factorization.

152551331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1403 counting only the distinct ones).

The product of its digits is 2250, while the sum is 26.

The square root of 152551331 is about 12351.1671918082. The cubic root of 152551331 is about 534.3248022840.

The spelling of 152551331 in words is "one hundred fifty-two million, five hundred fifty-one thousand, three hundred thirty-one".

Divisors: 1 47 53 1303 2209 2491 61241 69059 117077 2878327 3245773 152551331