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58000032 = 2532201389
BaseRepresentation
bin1101110101000…
…0001010100000
311001010201002100
43131100022200
5104322000112
65431050400
71302664206
oct335201240
9131121070
1058000032
112a815312
1217510a00
13c02985c
1479bb076
15515a2dc
hex37502a0

58000032 has 36 divisors (see below), whose sum is σ = 164938410. Its totient is φ = 19333248.

The previous prime is 58000031. The next prime is 58000049. The reversal of 58000032 is 23000085.

It can be written as a sum of positive squares in only one way, i.e., 36433296 + 21566736 = 6036^2 + 4644^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 57999969 and 58000014.

It is not an unprimeable number, because it can be changed into a prime (58000031) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100407 + ... + 100982.

Almost surely, 258000032 is an apocalyptic number.

It is an amenable number.

58000032 is an abundant number, since it is smaller than the sum of its proper divisors (106938378).

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

58000032 is a wasteful number, since it uses less digits than its factorization.

58000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201405 (or 201394 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 58000032 is about 7615.7752067665. The cubic root of 58000032 is about 387.0877352513.

The spelling of 58000032 in words is "fifty-eight million, thirty-two", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 201389 402778 604167 805556 1208334 1611112 1812501 2416668 3222224 3625002 4833336 6444448 7250004 9666672 14500008 19333344 29000016 58000032