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40198428 = 223237103293
BaseRepresentation
bin1001100101011…
…0000100011100
32210122021212200
42121112010130
540242322203
63553331500
7665452404
oct231260434
983567780
1040198428
1120766746
1211566b90
138435c6a
1454a5804
1537e09a3
hex265611c

40198428 has 72 divisors (see below), whose sum is σ = 105731808. Its totient is φ = 12866688.

The previous prime is 40198397. The next prime is 40198447. The reversal of 40198428 is 82489104.

40198428 is a `hidden beast` number, since 40 + 198 + 428 = 666.

It is a super-2 number, since 2×401984282 = 3231827227342368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40198392 and 40198401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137050 + ... + 137342.

Almost surely, 240198428 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 40198428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52865904).

40198428 is an abundant number, since it is smaller than the sum of its proper divisors (65533380).

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

40198428 is a wasteful number, since it uses less digits than its factorization.

40198428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 40198428 is about 6340.2230244685. The cubic root of 40198428 is about 342.5597686377.

The spelling of 40198428 in words is "forty million, one hundred ninety-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 103 111 148 206 222 293 309 333 412 444 586 618 666 879 927 1172 1236 1332 1758 1854 2637 3516 3708 3811 5274 7622 10548 10841 11433 15244 21682 22866 30179 32523 34299 43364 45732 60358 65046 68598 90537 97569 120716 130092 137196 181074 195138 271611 362148 390276 543222 1086444 1116623 2233246 3349869 4466492 6699738 10049607 13399476 20099214 40198428