Search a number
-
+
147041504 = 2553181479
BaseRepresentation
bin10001100001110…
…10110011100000
3101020200111000122
420300322303200
5300120312004
622331335412
73433555301
oct1060726340
9336614018
10147041504
1176001505
12412b1568
132460440c
14157587a8
15cd97cbe
hex8c3ace0

147041504 has 48 divisors (see below), whose sum is σ = 297198720. Its totient is φ = 71585280.

The previous prime is 147041471. The next prime is 147041509. The reversal of 147041504 is 405140741.

Together with 150157215 it forms a betrothed pair.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147041509) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 306737 + ... + 307215.

It is an arithmetic number, because the mean of its divisors is an integer number (6191640).

Almost surely, 2147041504 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 147041504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

147041504 is an abundant number, since it is smaller than the sum of its proper divisors (150157216).

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

147041504 is a wasteful number, since it uses less digits than its factorization.

147041504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 147041504 is about 12126.0671282984. The cubic root of 147041504 is about 527.8128736953.

The spelling of 147041504 in words is "one hundred forty-seven million, forty-one thousand, five hundred four".

Divisors: 1 2 4 8 16 32 53 106 181 212 362 424 479 724 848 958 1448 1696 1916 2896 3832 5792 7664 9593 15328 19186 25387 38372 50774 76744 86699 101548 153488 173398 203096 306976 346796 406192 693592 812384 1387184 2774368 4595047 9190094 18380188 36760376 73520752 147041504