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152881 = 172232
BaseRepresentation
bin100101010100110001
321202201021
4211110301
514343011
63135441
71204501
oct452461
9252637
10152881
11a4953
1274581
1354781
143da01
1530471
hex25531

152881 has 9 divisors (see below), whose sum is σ = 169771. Its totient is φ = 137632.

The previous prime is 152879. The next prime is 152897. The reversal of 152881 is 188251.

152881 = T390 + T391.

The square root of 152881 is 391.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 119025 + 33856 = 345^2 + 184^2 .

It is not a de Polignac number, because 152881 - 21 = 152879 is a prime.

It is a super-2 number, since 2×1528812 = 46745200322, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (640) is a multiple of the sum of its prime divisors (40).

It is not an unprimeable number, because it can be changed into a prime (152821) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6636 + ... + 6658.

2152881 is an apocalyptic number.

152881 is the 391-st square number.

152881 is the 196-th centered octagonal number.

It is an amenable number.

152881 is a deficient number, since it is larger than the sum of its proper divisors (16890).

152881 is an equidigital number, since it uses as much as digits as its factorization.

152881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 40 counting only the distinct ones).

The product of its digits is 640, while the sum is 25.

The cubic root of 152881 is about 53.4709423830.

Multiplying 152881 by its sum of digits (25), we get a square (3822025 = 19552).

The spelling of 152881 in words is "one hundred fifty-two thousand, eight hundred eighty-one".

Divisors: 1 17 23 289 391 529 6647 8993 152881