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40914315 = 3451319409
BaseRepresentation
bin1001110000010…
…0110110001011
32211222122220000
42130010312023
540433224230
64020534043
71004523501
oct234046613
984878800
1040914315
1121105592
1211851323
138626a70
145610671
1538d2b60
hex2704d8b

40914315 has 80 divisors (see below), whose sum is σ = 83344800. Its totient is φ = 19035648.

The previous prime is 40914283. The next prime is 40914319. The reversal of 40914315 is 51341904.

It is not a de Polignac number, because 40914315 - 25 = 40914283 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (40914319) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 99831 + ... + 100239.

It is an arithmetic number, because the mean of its divisors is an integer number (1041810).

Almost surely, 240914315 is an apocalyptic number.

40914315 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40914315 is an abundant number, since it is smaller than the sum of its proper divisors (42430485).

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

40914315 is a wasteful number, since it uses less digits than its factorization.

40914315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 40914315 is about 6396.4298636036. The cubic root of 40914315 is about 344.5813447220.

The spelling of 40914315 in words is "forty million, nine hundred fourteen thousand, three hundred fifteen".

Divisors: 1 3 5 9 13 15 19 27 39 45 57 65 81 95 117 135 171 195 247 285 351 405 409 513 585 741 855 1053 1227 1235 1539 1755 2045 2223 2565 3681 3705 5265 5317 6135 6669 7695 7771 11043 11115 15951 18405 20007 23313 26585 33129 33345 38855 47853 55215 69939 79755 100035 101023 116565 143559 165645 209817 239265 303069 349695 430677 505115 629451 717795 909207 1049085 1515345 2153385 2727621 3147255 4546035 8182863 13638105 40914315