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36057032 = 231121932
BaseRepresentation
bin1000100110001…
…0111111001000
32111211212221122
42021202333020
533212311112
63324454412
7615323354
oct211427710
974755848
1036057032
1119398200
12100aa408
137615c2b
144b08464
153273872
hex2262fc8

36057032 has 36 divisors (see below), whose sum is σ = 74698785. Its totient is φ = 16304640.

The previous prime is 36057011. The next prime is 36057053. The reversal of 36057032 is 23075063.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (36057011) and next prime (36057053).

It can be written as a sum of positive squares in 2 ways, for example, as 33477796 + 2579236 = 5786^2 + 1606^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=4246.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 36056992 and 36057010.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 186728 + ... + 186920.

Almost surely, 236057032 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 36057032

36057032 is an abundant number, since it is smaller than the sum of its proper divisors (38641753).

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

36057032 is a wasteful number, since it uses less digits than its factorization.

36057032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 26.

The square root of 36057032 is about 6004.7507858362. The cubic root of 36057032 is about 330.3669991096.

The spelling of 36057032 in words is "thirty-six million, fifty-seven thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 88 121 193 242 386 484 772 968 1544 2123 4246 8492 16984 23353 37249 46706 74498 93412 148996 186824 297992 409739 819478 1638956 3277912 4507129 9014258 18028516 36057032