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147742848 = 27321189131
BaseRepresentation
bin10001100111001…
…10000010000000
3101022000010002100
420303212002000
5300310232343
622354350400
73442536111
oct1063460200
9338003070
10147742848
1176440430
124158b400
13247bb706
141589c208
15ce859d3
hex8ce6080

147742848 has 192 divisors, whose sum is σ = 472586400. Its totient is φ = 43929600.

The previous prime is 147742831. The next prime is 147742873. The reversal of 147742848 is 848247741.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1477428482 = 43655898270302208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1127743 + ... + 1127873.

Almost surely, 2147742848 is an apocalyptic number.

147742848 is a gapful number since it is divisible by the number (18) 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 147742848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236293200).

147742848 is an abundant number, since it is smaller than the sum of its proper divisors (324843552).

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

147742848 is a wasteful number, since it uses less digits than its factorization.

147742848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 236 counting only the distinct ones).

The product of its digits is 401408, while the sum is 45.

The square root of 147742848 is about 12154.9515836140. The cubic root of 147742848 is about 528.6507128765.

The spelling of 147742848 in words is "one hundred forty-seven million, seven hundred forty-two thousand, eight hundred forty-eight".