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148199616 = 2632457563
BaseRepresentation
bin10001101010101…
…01100011000000
3101022212022122200
420311111203000
5300414341431
622412233200
73446450565
oct1065254300
9338768580
10148199616
1176722624
124176b800
132491b5a6
141597a86c
15d025ee6
hex8d558c0

148199616 has 84 divisors (see below), whose sum is σ = 426473112. Its totient is φ = 49204224.

The previous prime is 148199587. The next prime is 148199617. The reversal of 148199616 is 616991841.

148199616 is a `hidden beast` number, since 14 + 8 + 19 + 9 + 616 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (148199617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 262951 + ... + 263513.

Almost surely, 2148199616 is an apocalyptic number.

148199616 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 148199616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213236556).

148199616 is an abundant number, since it is smaller than the sum of its proper divisors (278273496).

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

148199616 is a wasteful number, since it uses less digits than its factorization.

148199616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1025 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 148199616 is about 12173.7264631665. The cubic root of 148199616 is about 529.1949519866.

The spelling of 148199616 in words is "one hundred forty-eight million, one hundred ninety-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 457 563 576 914 1126 1371 1689 1828 2252 2742 3378 3656 4113 4504 5067 5484 6756 7312 8226 9008 10134 10968 13512 14624 16452 18016 20268 21936 27024 29248 32904 36032 40536 43872 54048 65808 81072 87744 108096 131616 162144 257291 263232 324288 514582 771873 1029164 1543746 2058328 2315619 3087492 4116656 4631238 6174984 8233312 9262476 12349968 16466624 18524952 24699936 37049904 49399872 74099808 148199616