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145552464 = 24341923257
BaseRepresentation
bin10001010110011…
…11010001010000
3101010212211110000
420223033101100
5244230134324
622235410000
73415114131
oct1053172120
9333784400
10145552464
11751847a2
12408b3900
1324202725
141548bc88
15cba19c9
hex8acf450

145552464 has 200 divisors, whose sum is σ = 464523840. Its totient is φ = 43794432.

The previous prime is 145552457. The next prime is 145552481. The reversal of 145552464 is 464255541.

145552464 is a `hidden beast` number, since 1 + 45 + 552 + 4 + 64 = 666.

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 39 ways as a sum of consecutive naturals, for example, 566224 + ... + 566480.

Almost surely, 2145552464 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 145552464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232261920).

145552464 is an abundant number, since it is smaller than the sum of its proper divisors (318971376).

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

145552464 is a wasteful number, since it uses less digits than its factorization.

145552464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 304 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 145552464 is about 12064.5125885798. The cubic root of 145552464 is about 526.0251642122.

The spelling of 145552464 in words is "one hundred forty-five million, five hundred fifty-two thousand, four hundred sixty-four".