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145600464 = 24310728349
BaseRepresentation
bin10001010110110…
…10111111010000
3101010222021021210
420223122333100
5244233203324
622240420120
73415404102
oct1053327720
9333867253
10145600464
1175207869
1240917640
132421b529
14154a1572
15cbb0d29
hex8adafd0

145600464 has 40 divisors (see below), whose sum is σ = 379663200. Its totient is φ = 48078208.

The previous prime is 145600457. The next prime is 145600517. The reversal of 145600464 is 464006541.

145600464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9039 + ... + 19310.

It is an arithmetic number, because the mean of its divisors is an integer number (9491580).

Almost surely, 2145600464 is an apocalyptic number.

It is an amenable number.

145600464 is an abundant number, since it is smaller than the sum of its proper divisors (234062736).

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

145600464 is a wasteful number, since it uses less digits than its factorization.

145600464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28467 (or 28461 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 145600464 is about 12066.5017299961. The cubic root of 145600464 is about 526.0829816987.

The spelling of 145600464 in words is "one hundred forty-five million, six hundred thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 428 642 856 1284 1712 2568 5136 28349 56698 85047 113396 170094 226792 340188 453584 680376 1360752 3033343 6066686 9100029 12133372 18200058 24266744 36400116 48533488 72800232 145600464