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40985100 = 2232521331113
BaseRepresentation
bin1001110001011…
…0001000001100
32212010020222200
42130112020030
540443010400
64022241500
71005240042
oct234261014
985106880
1040985100
1121153792
1211886290
138650050
14562c392
1538e8b00
hex271620c

40985100 has 216 divisors, whose sum is σ = 144074112. Its totient is φ = 9676800.

The previous prime is 40985099. The next prime is 40985101. The reversal of 40985100 is 158904.

It is an interprime number because it is at equal distance from previous prime (40985099) and next prime (40985101).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40985101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 362644 + ... + 362756.

Almost surely, 240985100 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 40985100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72037056).

40985100 is an abundant number, since it is smaller than the sum of its proper divisors (103089012).

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

40985100 is a wasteful number, since it uses less digits than its factorization.

40985100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 40985100 is about 6401.9606371798. The cubic root of 40985100 is about 344.7799478903.

The spelling of 40985100 in words is "forty million, nine hundred eighty-five thousand, one hundred".