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40363785 = 3357112353
BaseRepresentation
bin1001100111111…
…0011100001001
32210221200201000
42121332130021
540313120120
64001045213
71000041450
oct231763411
983850630
1040363785
1120869a00
1211626809
1384932c7
145509b97
153824990
hex267e709

40363785 has 96 divisors (see below), whose sum is σ = 90397440. Its totient is φ = 16727040.

The previous prime is 40363783. The next prime is 40363787. The reversal of 40363785 is 58736304.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40363783) and next prime (40363787).

It is not a de Polignac number, because 40363785 - 21 = 40363783 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40363783) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114169 + ... + 114521.

It is an arithmetic number, because the mean of its divisors is an integer number (941640).

Almost surely, 240363785 is an apocalyptic number.

40363785 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40363785 is the 3177-th decagonal number.

It is an amenable number.

40363785 is an abundant number, since it is smaller than the sum of its proper divisors (50033655).

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

40363785 is a wasteful number, since it uses less digits than its factorization.

40363785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 40363785 is about 6353.2499557313. The cubic root of 40363785 is about 343.0288347668.

The spelling of 40363785 in words is "forty million, three hundred sixty-three thousand, seven hundred eighty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 99 105 121 135 165 189 231 297 315 353 363 385 495 605 693 847 945 1059 1089 1155 1485 1765 1815 2079 2471 2541 3177 3267 3465 3883 4235 5295 5445 7413 7623 9531 10395 11649 12355 12705 15885 16335 19415 22239 22869 27181 34947 37065 38115 42713 47655 58245 66717 81543 104841 111195 114345 128139 135905 174735 213565 244629 298991 333585 384417 407715 524205 640695 733887 896973 1153251 1223145 1494955 1922085 2690919 3669435 4484865 5766255 8072757 13454595 40363785