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145935984 = 2433040333
BaseRepresentation
bin10001011001011…
…00111001110000
3101011121022112110
420230230321300
5244324422414
622251525320
73421302225
oct1054547160
9334538473
10145935984
1175416957
1240a59840
132430816c
141554b94c
15cc2a459
hex8b2ce70

145935984 has 20 divisors (see below), whose sum is σ = 377001416. Its totient is φ = 48645312.

The previous prime is 145935971. The next prime is 145935991. The reversal of 145935984 is 489539541.

It is a super-2 number, since 2×1459359842 = 42594622852096512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 3040333 = 145935984 / (1 + 4 + 5 + 9 + 3 + 5 + 9 + 8 + 4).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1520119 + ... + 1520214.

Almost surely, 2145935984 is an apocalyptic number.

It is an amenable number.

145935984 is an abundant number, since it is smaller than the sum of its proper divisors (231065432).

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

145935984 is a wasteful number, since it uses less digits than its factorization.

145935984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3040344 (or 3040338 counting only the distinct ones).

The product of its digits is 777600, while the sum is 48.

The square root of 145935984 is about 12080.3966822286. The cubic root of 145935984 is about 526.4867715102.

The spelling of 145935984 in words is "one hundred forty-five million, nine hundred thirty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 3040333 6080666 9120999 12161332 18241998 24322664 36483996 48645328 72967992 145935984