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146376048 = 243713233147
BaseRepresentation
bin10001011100110…
…00010101110000
3101012102200012010
420232120111300
5244433013143
622305202520
73425114220
oct1056302560
9335380163
10146376048
1175697545
1241030440
1324430560
1415624080
15ccb5a33
hex8b98570

146376048 has 320 divisors, whose sum is σ = 511967232. Its totient is φ = 34974720.

The previous prime is 146376037. The next prime is 146376049. The reversal of 146376048 is 840673641.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 146375997 and 146376015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146376049) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3114361 + ... + 3114407.

Almost surely, 2146376048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146376048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255983616).

146376048 is an abundant number, since it is smaller than the sum of its proper divisors (365591184).

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

146376048 is a wasteful number, since it uses less digits than its factorization.

146376048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 146376048 is about 12098.5969434476. The cubic root of 146376048 is about 527.0154402590.

The spelling of 146376048 in words is "one hundred forty-six million, three hundred seventy-six thousand, forty-eight".