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40090036 = 22721371493
BaseRepresentation
bin1001100011101…
…1100110110100
32210102210012011
42120323212310
540230340121
63551134004
7664521400
oct230734664
983383164
1040090036
11206a2268
1211514304
1383c881c
145478100
1537bd7e1
hex263b9b4

40090036 has 36 divisors (see below), whose sum is σ = 82262628. Its totient is φ = 17044608.

The previous prime is 40090021. The next prime is 40090049. The reversal of 40090036 is 63009004.

It can be written as a sum of positive squares in 2 ways, for example, as 29811600 + 10278436 = 5460^2 + 3206^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40089989 and 40090016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26106 + ... + 27598.

It is an arithmetic number, because the mean of its divisors is an integer number (2285073).

Almost surely, 240090036 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 40090036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41131314).

40090036 is an abundant number, since it is smaller than the sum of its proper divisors (42172592).

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

40090036 is a wasteful number, since it uses less digits than its factorization.

40090036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 40090036 is about 6331.6692901635. The cubic root of 40090036 is about 342.2515960401.

The spelling of 40090036 in words is "forty million, ninety thousand, thirty-six".

Divisors: 1 2 4 7 14 28 49 98 137 196 274 548 959 1493 1918 2986 3836 5972 6713 10451 13426 20902 26852 41804 73157 146314 204541 292628 409082 818164 1431787 2863574 5727148 10022509 20045018 40090036