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150248880 = 243252343211
BaseRepresentation
bin10001111010010…
…01110110110000
3101110201102201100
420331021312300
5301430431010
622524204400
73503044245
oct1075116660
9343642640
10150248880
11778a2231
1242399700
1325188282
1415d515cc
15d2cd2c0
hex8f49db0

150248880 has 240 divisors, whose sum is σ = 541322496. Its totient is φ = 37255680.

The previous prime is 150248867. The next prime is 150248893. The reversal of 150248880 is 88842051.

150248880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (150248867) and next prime (150248893).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 711975 + ... + 712185.

Almost surely, 2150248880 is an apocalyptic number.

150248880 is a gapful number since it is divisible by the number (10) 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 150248880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270661248).

150248880 is an abundant number, since it is smaller than the sum of its proper divisors (391073616).

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

150248880 is a wasteful number, since it uses less digits than its factorization.

150248880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 150248880 is about 12257.6049862932. The cubic root of 150248880 is about 531.6229827328.

The spelling of 150248880 in words is "one hundred fifty million, two hundred forty-eight thousand, eight hundred eighty".