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40851540 = 22345151167
BaseRepresentation
bin1001101111010…
…1100001010100
32211212110210000
42123311201110
540424222130
64015331300
71004142462
oct233654124
984773700
1040851540
1121072404
1211820b30
138604312
1455d5832
1538be260
hex26f5854

40851540 has 120 divisors (see below), whose sum is σ = 129773952. Its totient is φ = 10756800.

The previous prime is 40851533. The next prime is 40851563. The reversal of 40851540 is 4515804.

40851540 is a `hidden beast` number, since 40 + 85 + 1 + 540 = 666.

40851540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 244537 + ... + 244703.

Almost surely, 240851540 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 40851540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64886976).

40851540 is an abundant number, since it is smaller than the sum of its proper divisors (88922412).

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

40851540 is a wasteful number, since it uses less digits than its factorization.

40851540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 40851540 is about 6391.5209457531. The cubic root of 40851540 is about 344.4050236614.

It can be divided in two parts, 4085 and 1540, that added together give a square (5625 = 752).

The spelling of 40851540 in words is "forty million, eight hundred fifty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 151 162 167 180 270 302 324 334 405 453 501 540 604 668 755 810 835 906 1002 1359 1503 1510 1620 1670 1812 2004 2265 2505 2718 3006 3020 3340 4077 4509 4530 5010 5436 6012 6795 7515 8154 9018 9060 10020 12231 13527 13590 15030 16308 18036 20385 22545 24462 25217 27054 27180 30060 40770 45090 48924 50434 54108 61155 67635 75651 81540 90180 100868 122310 126085 135270 151302 226953 244620 252170 270540 302604 378255 453906 504340 680859 756510 907812 1134765 1361718 1513020 2042577 2269530 2723436 3404295 4085154 4539060 6808590 8170308 10212885 13617180 20425770 40851540