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148001616 = 24327296183
BaseRepresentation
bin10001101001001…
…01001101010000
3101022111021001100
420310211031100
5300342022431
622404104400
73444664410
oct1064451520
9338437040
10148001616
11765a7894
1241695100
132487c429
1415928640
15ced74e6
hex8d25350

148001616 has 240 divisors, whose sum is σ = 503717760. Its totient is φ = 39674880.

The previous prime is 148001603. The next prime is 148001629. The reversal of 148001616 is 616100841.

148001616 is a `hidden beast` number, since 1 + 48 + 0 + 0 + 1 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (148001603) and next prime (148001629).

It is a super-2 number, since 2×1480016162 = 43808956677222912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 148001616.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1783111 + ... + 1783193.

It is an arithmetic number, because the mean of its divisors is an integer number (2098824).

Almost surely, 2148001616 is an apocalyptic number.

148001616 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 148001616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251858880).

148001616 is an abundant number, since it is smaller than the sum of its proper divisors (355716144).

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

148001616 is a wasteful number, since it uses less digits than its factorization.

148001616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 148001616 is about 12165.5914776060. The cubic root of 148001616 is about 528.9591724762.

The spelling of 148001616 in words is "one hundred forty-eight million, one thousand, six hundred sixteen".