Search a number
-
+
148232672 = 2572772389
BaseRepresentation
bin10001101010111…
…01100111100000
3101022220222222222
420311131213200
5300421421142
622413050212
73446646140
oct1065354740
9338828888
10148232672
1176745445
1241786968
1324930653
1415988920
15d030bd2
hex8d5d9e0

148232672 has 48 divisors (see below), whose sum is σ = 334867680. Its totient is φ = 63272448.

The previous prime is 148232663. The next prime is 148232681. The reversal of 148232672 is 276232841.

148232672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (148232663) and next prime (148232681).

It is a congruent number.

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, 60854 + ... + 63242.

It is an arithmetic number, because the mean of its divisors is an integer number (6976410).

Almost surely, 2148232672 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 148232672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167433840).

148232672 is an abundant number, since it is smaller than the sum of its proper divisors (186635008).

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

148232672 is a wasteful number, since it uses less digits than its factorization.

148232672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2683 (or 2675 counting only the distinct ones).

The product of its digits is 32256, while the sum is 35.

The square root of 148232672 is about 12175.0840654182. The cubic root of 148232672 is about 529.2342947963.

The spelling of 148232672 in words is "one hundred forty-eight million, two hundred thirty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 277 554 1108 1939 2216 2389 3878 4432 4778 7756 8864 9556 15512 16723 19112 31024 33446 38224 62048 66892 76448 133784 267568 535136 661753 1323506 2647012 4632271 5294024 9264542 10588048 18529084 21176096 37058168 74116336 148232672