Search a number
-
+
146082852 = 223716699
BaseRepresentation
bin10001011010100…
…00110000100100
3101011212210000000
420231100300210
5244344122402
622255021300
73422453346
oct1055206044
9334783000
10146082852
1175507233
1240b0a830
1324359c76
1415589296
15cc58c1c
hex8b50c24

146082852 has 48 divisors (see below), whose sum is σ = 383432000. Its totient is φ = 48691368.

The previous prime is 146082829. The next prime is 146082857. The reversal of 146082852 is 258280641.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (146082857) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399 + ... + 17097.

Almost surely, 2146082852 is an apocalyptic number.

146082852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146082852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191716000).

146082852 is an abundant number, since it is smaller than the sum of its proper divisors (237349148).

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

146082852 is an equidigital number, since it uses as much as digits as its factorization.

146082852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16724 (or 16704 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 146082852 is about 12086.4739274943. The cubic root of 146082852 is about 526.6633286833.

The spelling of 146082852 in words is "one hundred forty-six million, eighty-two thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 8748 16699 33398 50097 66796 100194 150291 200388 300582 450873 601164 901746 1352619 1803492 2705238 4057857 5410476 8115714 12173571 16231428 24347142 36520713 48694284 73041426 146082852