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40102398 = 2337277383
BaseRepresentation
bin1001100011111…
…0100111111110
32210110102011000
42120332213332
540231234043
63551311130
7664602420
oct230764776
983412130
1040102398
1120700586
121151b4a6
13840133b
14547c810
1537c22d3
hex263e9fe

40102398 has 64 divisors (see below), whose sum is σ = 102481920. Its totient is φ = 11386656.

The previous prime is 40102393. The next prime is 40102411. The reversal of 40102398 is 89320104.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40102393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104515 + ... + 104897.

It is an arithmetic number, because the mean of its divisors is an integer number (1601280).

Almost surely, 240102398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40102398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51240960).

40102398 is an abundant number, since it is smaller than the sum of its proper divisors (62379522).

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

40102398 is a wasteful number, since it uses less digits than its factorization.

40102398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 40102398 is about 6332.6454187804. The cubic root of 40102398 is about 342.2867708603.

The spelling of 40102398 in words is "forty million, one hundred two thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 277 378 383 554 766 831 1149 1662 1939 2298 2493 2681 3447 3878 4986 5362 5817 6894 7479 8043 10341 11634 14958 16086 17451 20682 24129 34902 48258 52353 72387 104706 106091 144774 212182 318273 636546 742637 954819 1485274 1909638 2227911 2864457 4455822 5728914 6683733 13367466 20051199 40102398