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148381632 = 263572947
BaseRepresentation
bin10001101100000…
…01111111000000
3101100012120100000
420312001333000
5300441203012
622420200000
73451136340
oct1066017700
9340176300
10148381632
1176837353
1241839000
13249833a9
14159c6d20
15d05eddc
hex8d81fc0

148381632 has 336 divisors, whose sum is σ = 532546560. Its totient is φ = 40061952.

The previous prime is 148381613. The next prime is 148381633. The reversal of 148381632 is 236183841.

148381632 is a `hidden beast` number, since 14 + 8 + 3 + 8 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148381633) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3157033 + ... + 3157079.

It is an arithmetic number, because the mean of its divisors is an integer number (1584960).

Almost surely, 2148381632 is an apocalyptic number.

148381632 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 148381632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266273280).

148381632 is an abundant number, since it is smaller than the sum of its proper divisors (384164928).

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

148381632 is an equidigital number, since it uses as much as digits as its factorization.

148381632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 88 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 148381632 is about 12181.1999408925. The cubic root of 148381632 is about 529.4115124705.

The spelling of 148381632 in words is "one hundred forty-eight million, three hundred eighty-one thousand, six hundred thirty-two".