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148900896 = 25332359127
BaseRepresentation
bin10001110000000…
…00110000100000
3101101011221122000
420320000300200
5301104312041
622435244000
73455431254
oct1070006040
9341157560
10148900896
11770614a1
1241a49600
1324b05851
1415ac0264
15d113bb6
hex8e00c20

148900896 has 192 divisors, whose sum is σ = 464486400. Its totient is φ = 46303488.

The previous prime is 148900861. The next prime is 148900897. The reversal of 148900896 is 698009841.

It is not an unprimeable number, because it can be changed into a prime (148900897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1172385 + ... + 1172511.

It is an arithmetic number, because the mean of its divisors is an integer number (2419200).

Almost surely, 2148900896 is an apocalyptic number.

148900896 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 148900896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232243200).

148900896 is an abundant number, since it is smaller than the sum of its proper divisors (315585504).

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

148900896 is a wasteful number, since it uses less digits than its factorization.

148900896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 148900896 is about 12202.4954824823. The cubic root of 148900896 is about 530.0283549562.

The spelling of 148900896 in words is "one hundred forty-eight million, nine hundred thousand, eight hundred ninety-six".