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145974528 = 283372431
BaseRepresentation
bin10001011001101…
…10010100000000
3101011200021102000
420230312110000
5244332141103
622252424000
73421522500
oct1054662400
9334607360
10145974528
1175442907
1240a78000
132431c87b
141555ba00
15cc36aa3
hex8b36500

145974528 has 216 divisors, whose sum is σ = 503314560. Its totient is φ = 41610240.

The previous prime is 145974497. The next prime is 145974539. The reversal of 145974528 is 825479541.

145974528 is a `hidden beast` number, since 1 + 4 + 59 + 74 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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, 338473 + ... + 338903.

It is an arithmetic number, because the mean of its divisors is an integer number (2330160).

Almost surely, 2145974528 is an apocalyptic number.

145974528 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 145974528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251657280).

145974528 is an abundant number, since it is smaller than the sum of its proper divisors (357340032).

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

145974528 is an equidigital number, since it uses as much as digits as its factorization.

145974528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 443 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 145974528 is about 12081.9918887574. The cubic root of 145974528 is about 526.5331185894.

The spelling of 145974528 in words is "one hundred forty-five million, nine hundred seventy-four thousand, five hundred twenty-eight".