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40161825 = 355211601
BaseRepresentation
bin1001100100110…
…1001000100001
32210120102200000
42121031020201
540240134300
63552450213
7665240604
oct231151041
983512600
1040161825
11207411a0
1211549969
1384223c2
14549633b
1537d4c00
hex264d221

40161825 has 72 divisors (see below), whose sum is σ = 81515616. Its totient is φ = 19440000.

The previous prime is 40161817. The next prime is 40161853. The reversal of 40161825 is 52816104.

40161825 is a `hidden beast` number, since 40 + 1 + 618 + 2 + 5 = 666.

It is not a de Polignac number, because 40161825 - 23 = 40161817 is a prime.

It is a super-2 number, since 2×401618252 = 3225944374661250, which contains 22 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66525 + ... + 67125.

Almost surely, 240161825 is an apocalyptic number.

40161825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40161825 is an abundant number, since it is smaller than the sum of its proper divisors (41353791).

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

40161825 is a wasteful number, since it uses less digits than its factorization.

40161825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 40161825 is about 6337.3357966893. The cubic root of 40161825 is about 342.4557635517.

Adding to 40161825 its reverse (52816104), we get a palindrome (92977929).

It can be divided in two parts, 401 and 61825, that added together give a palindrome (62226).

The spelling of 40161825 in words is "forty million, one hundred sixty-one thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 135 165 225 243 275 297 405 495 601 675 825 891 1215 1485 1803 2025 2475 2673 3005 4455 5409 6075 6611 7425 9015 13365 15025 16227 19833 22275 27045 33055 45075 48681 59499 66825 81135 99165 135225 146043 165275 178497 243405 297495 405675 495825 535491 730215 892485 1217025 1487475 1606473 2677455 3651075 4462425 8032365 13387275 40161825