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148083264 = 26327191933
BaseRepresentation
bin10001101001110…
…01001001000000
3101022122102001100
420310321021000
5300402131024
622405534400
73445454430
oct1064711100
9338572040
10148083264
117665316a
1241714400
13248aa644
141594a2c0
15d0017c9
hex8d39240

148083264 has 168 divisors, whose sum is σ = 510885440. Its totient is φ = 40061952.

The previous prime is 148083241. The next prime is 148083281. The reversal of 148083264 is 462380841.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75642 + ... + 77574.

Almost surely, 2148083264 is an apocalyptic number.

148083264 is a gapful number since it is divisible by the number (14) 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 148083264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255442720).

148083264 is an abundant number, since it is smaller than the sum of its proper divisors (362802176).

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

148083264 is a wasteful number, since it uses less digits than its factorization.

148083264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 148083264 is about 12168.9467087337. The cubic root of 148083264 is about 529.0564248355.

The spelling of 148083264 in words is "one hundred forty-eight million, eighty-three thousand, two hundred sixty-four".