Search a number
-
+
148857696 = 25331329457
BaseRepresentation
bin10001101111101…
…10001101100000
3101101002202101000
420313312031200
5301101421241
622434312000
73455161311
oct1067661540
9341082330
10148857696
1177031a99
1241a28600
1324abbca0
1415aac608
15d105eb6
hex8df6360

148857696 has 192 divisors, whose sum is σ = 484747200. Its totient is φ = 44126208.

The previous prime is 148857689. The next prime is 148857707. The reversal of 148857696 is 696758841.

148857696 is a `hidden beast` number, since 1 + 488 + 5 + 76 + 96 = 666.

148857696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1488576962 = 44317227316856832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2903040) is a multiple of the sum of its prime divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325500 + ... + 325956.

It is an arithmetic number, because the mean of its divisors is an integer number (2524725).

Almost surely, 2148857696 is an apocalyptic number.

148857696 is a gapful number since it is divisible by the number (16) 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 148857696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242373600).

148857696 is an abundant number, since it is smaller than the sum of its proper divisors (335889504).

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

148857696 is a wasteful number, since it uses less digits than its factorization.

148857696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 504 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 148857696 is about 12200.7252243463. The cubic root of 148857696 is about 529.9770916881.

The spelling of 148857696 in words is "one hundred forty-eight million, eight hundred fifty-seven thousand, six hundred ninety-six".