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40136628 = 22371034639
BaseRepresentation
bin1001100100011…
…0111110110100
32210112011002210
42121012332310
540233333003
63552133420
7665104260
oct231067664
983464083
1040136628
1120724274
1211537270
138413aac
14548b0a0
1537cc503
hex2646fb4

40136628 has 48 divisors (see below), whose sum is σ = 108093440. Its totient is φ = 11353824.

The previous prime is 40136623. The next prime is 40136647. The reversal of 40136628 is 82663104.

It is a super-2 number, since 2×401366282 = 3221897814420768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40136595 and 40136604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40136623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6333 + ... + 10971.

Almost surely, 240136628 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 40136628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54046720).

40136628 is an abundant number, since it is smaller than the sum of its proper divisors (67956812).

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

40136628 is a wasteful number, since it uses less digits than its factorization.

40136628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4756 (or 4754 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 40136628 is about 6335.3475042810. The cubic root of 40136628 is about 342.3841311574.

The spelling of 40136628 in words is "forty million, one hundred thirty-six thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 103 206 309 412 618 721 1236 1442 2163 2884 4326 4639 8652 9278 13917 18556 27834 32473 55668 64946 97419 129892 194838 389676 477817 955634 1433451 1911268 2866902 3344719 5733804 6689438 10034157 13378876 20068314 40136628