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36025840 = 2454011123
BaseRepresentation
bin1000100101101…
…1010111110000
32111210022011101
42021123113300
533210311330
63324054144
7615133414
oct211332760
974708141
1036025840
1119376824
1210094354
137604986
144adad44
1532694ca
hex225b5f0

36025840 has 40 divisors (see below), whose sum is σ = 84043728. Its totient is φ = 14361600.

The previous prime is 36025837. The next prime is 36025867. The reversal of 36025840 is 4852063.

36025840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×360258402 = 2595722295411200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36025799 and 36025808.

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 7 ways as a sum of consecutive naturals, for example, 31519 + ... + 32641.

Almost surely, 236025840 is an apocalyptic number.

It is an amenable number.

36025840 is an abundant number, since it is smaller than the sum of its proper divisors (48017888).

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

36025840 is a wasteful number, since it uses less digits than its factorization.

36025840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 36025840 is about 6002.1529470682. The cubic root of 36025840 is about 330.2717076619.

The spelling of 36025840 in words is "thirty-six million, twenty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 401 802 1123 1604 2005 2246 3208 4010 4492 5615 6416 8020 8984 11230 16040 17968 22460 32080 44920 89840 450323 900646 1801292 2251615 3602584 4503230 7205168 9006460 18012920 36025840