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148912016 = 24112813011
BaseRepresentation
bin10001110000000…
…11011110010000
3101101012111212212
420320003132100
5301110141031
622435411252
73455505551
oct1070033620
9341174785
10148912016
1177069890
1241a53b28
1324b0a926
1415ac4328
15d11712b
hex8e03790

148912016 has 40 divisors (see below), whose sum is σ = 315970848. Its totient is φ = 67424000.

The previous prime is 148911947. The next prime is 148912019. The reversal of 148912016 is 610219841.

It is not an unprimeable number, because it can be changed into a prime (148912019) 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 7 ways as a sum of consecutive naturals, for example, 47951 + ... + 50961.

Almost surely, 2148912016 is an apocalyptic number.

148912016 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 148912016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157985424).

148912016 is an abundant number, since it is smaller than the sum of its proper divisors (167058832).

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

148912016 is a wasteful number, since it uses less digits than its factorization.

148912016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3311 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 148912016 is about 12202.9511184795. The cubic root of 148912016 is about 530.0415488965.

The spelling of 148912016 in words is "one hundred forty-eight million, nine hundred twelve thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 176 281 562 1124 2248 3011 3091 4496 6022 6182 12044 12364 24088 24728 33121 48176 49456 66242 132484 264968 529936 846091 1692182 3384364 6768728 9307001 13537456 18614002 37228004 74456008 148912016