Search a number
-
+
148256352 = 2533296197
BaseRepresentation
bin10001101011000…
…11011001100000
3101022222012111000
420311203121200
5300423200402
622413352000
73450105156
oct1065433140
9338865430
10148256352
1176761212
1241798600
132493b36a
14159933d6
15d037c1c
hex8d63660

148256352 has 192 divisors, whose sum is σ = 459345600. Its totient is φ = 46448640.

The previous prime is 148256309. The next prime is 148256359. The reversal of 148256352 is 253652841.

148256352 is a `hidden beast` number, since 1 + 48 + 2 + 563 + 52 = 666.

148256352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (57600) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148256359) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1528368 + ... + 1528464.

It is an arithmetic number, because the mean of its divisors is an integer number (2392425).

Almost surely, 2148256352 is an apocalyptic number.

148256352 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 148256352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229672800).

148256352 is an abundant number, since it is smaller than the sum of its proper divisors (311089248).

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

148256352 is a wasteful number, since it uses less digits than its factorization.

148256352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 192 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 148256352 is about 12176.0565044681. The cubic root of 148256352 is about 529.2624748204.

The spelling of 148256352 in words is "one hundred forty-eight million, two hundred fifty-six thousand, three hundred fifty-two".