Search a number
-
+
141573952 = 2613263647
BaseRepresentation
bin10000111000000…
…11111101000000
3100212101200221201
420130003331000
5242220331302
622014230544
73336234022
oct1034037500
9325350851
10141573952
1172a07673
123b4b5454
132343b890
1414b34012
15c667c87
hex8703f40

141573952 has 56 divisors (see below), whose sum is σ = 304166016. Its totient is φ = 64992768.

The previous prime is 141573919. The next prime is 141573961. The reversal of 141573952 is 259375141.

141573952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 218493 + ... + 219139.

It is an arithmetic number, because the mean of its divisors is an integer number (5431536).

Almost surely, 2141573952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141573952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152083008).

141573952 is an abundant number, since it is smaller than the sum of its proper divisors (162592064).

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

141573952 is a wasteful number, since it uses less digits than its factorization.

141573952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 925 counting only the distinct ones).

The product of its digits is 37800, while the sum is 37.

The square root of 141573952 is about 11898.4852817491. The cubic root of 141573952 is about 521.1880527993.

The spelling of 141573952 in words is "one hundred forty-one million, five hundred seventy-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 263 416 526 647 832 1052 1294 2104 2588 3419 4208 5176 6838 8411 8416 10352 13676 16822 16832 20704 27352 33644 41408 54704 67288 109408 134576 170161 218816 269152 340322 538304 680644 1361288 2212093 2722576 4424186 5445152 8848372 10890304 17696744 35393488 70786976 141573952