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148810976 = 25411011123
BaseRepresentation
bin10001101111010…
…10110011100000
3101101000101021122
420313222303200
5301043422401
622433311412
73454605146
oct1067526340
9341011248
10148810976
1176aaa986
1241a05568
1324aa3942
1415a99596
15d0e721b
hex8deace0

148810976 has 48 divisors (see below), whose sum is σ = 303358608. Its totient is φ = 71808000.

The previous prime is 148810973. The next prime is 148810997. The reversal of 148810976 is 679018841.

148810976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148810973) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131951 + ... + 133073.

It is an arithmetic number, because the mean of its divisors is an integer number (6319971).

Almost surely, 2148810976 is an apocalyptic number.

148810976 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 148810976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151679304).

148810976 is an abundant number, since it is smaller than the sum of its proper divisors (154547632).

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

148810976 is a wasteful number, since it uses less digits than its factorization.

148810976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 44.

The square root of 148810976 is about 12198.8104338087. The cubic root of 148810976 is about 529.9216402486.

The spelling of 148810976 in words is "one hundred forty-eight million, eight hundred ten thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 41 82 101 164 202 328 404 656 808 1123 1312 1616 2246 3232 4141 4492 8282 8984 16564 17968 33128 35936 46043 66256 92086 113423 132512 184172 226846 368344 453692 736688 907384 1473376 1814768 3629536 4650343 9300686 18601372 37202744 74405488 148810976