Search a number
-
+
147133472 = 2529331479
BaseRepresentation
bin10001100010100…
…01010000100000
3101020212011011212
420301101100200
5300131232342
622333325252
73434420363
oct1061212040
9336764155
10147133472
1176064612
1241336828
1324637235
14157800da
15cdb5182
hex8c51420

147133472 has 48 divisors (see below), whose sum is σ = 301190400. Its totient is φ = 70667520.

The previous prime is 147133463. The next prime is 147133489. The reversal of 147133472 is 274331741.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 306929 + ... + 307407.

It is an arithmetic number, because the mean of its divisors is an integer number (6274800).

Almost surely, 2147133472 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 147133472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150595200).

147133472 is an abundant number, since it is smaller than the sum of its proper divisors (154056928).

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

147133472 is a wasteful number, since it uses less digits than its factorization.

147133472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 841 counting only the distinct ones).

The product of its digits is 14112, while the sum is 32.

The square root of 147133472 is about 12129.8586966213. The cubic root of 147133472 is about 527.9228920150.

It can be divided in two parts, 1471 and 33472, that added together give a palindrome (34943).

The spelling of 147133472 in words is "one hundred forty-seven million, one hundred thirty-three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 29 32 58 116 232 331 464 479 662 928 958 1324 1916 2648 3832 5296 7664 9599 10592 13891 15328 19198 27782 38396 55564 76792 111128 153584 158549 222256 307168 317098 444512 634196 1268392 2536784 4597921 5073568 9195842 18391684 36783368 73566736 147133472