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148762016 = 2513541661
BaseRepresentation
bin10001101110111…
…10110110100000
3101100220220010022
420313132312200
5301040341031
622432253012
73454312334
oct1067366640
9340826108
10148762016
1176a77117
12419a1168
1324a87580
1415a857c4
15d0d797b
hex8ddeda0

148762016 has 48 divisors (see below), whose sum is σ = 316465128. Its totient is φ = 68428800.

The previous prime is 148761971. The next prime is 148762021. The reversal of 148762016 is 610267841.

It can be written as a sum of positive squares in 4 ways, for example, as 116726416 + 32035600 = 10804^2 + 5660^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224726 + ... + 225386.

Almost surely, 2148762016 is an apocalyptic number.

148762016 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 148762016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158232564).

148762016 is an abundant number, since it is smaller than the sum of its proper divisors (167703112).

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

148762016 is a wasteful number, since it uses less digits than its factorization.

148762016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 148762016 is about 12196.8035156757. The cubic root of 148762016 is about 529.8635177227.

The spelling of 148762016 in words is "one hundred forty-eight million, seven hundred sixty-two thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 541 661 1082 1322 2164 2644 4328 5288 7033 8593 8656 10576 14066 17186 17312 21152 28132 34372 56264 68744 112528 137488 225056 274976 357601 715202 1430404 2860808 4648813 5721616 9297626 11443232 18595252 37190504 74381008 148762016