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40945905 = 34571113101
BaseRepresentation
bin1001110000110…
…0100011110001
32212001021020000
42130030203301
540440232110
64021340213
71005014550
oct234144361
985037200
1040945905
11211272a0
1211867669
138638260
14561bd97
1538dc1c0
hex270c8f1

40945905 has 160 divisors (see below), whose sum is σ = 99525888. Its totient is φ = 15552000.

The previous prime is 40945903. The next prime is 40945973. The reversal of 40945905 is 50954904.

It is not a de Polignac number, because 40945905 - 21 = 40945903 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40945905.

It is not an unprimeable number, because it can be changed into a prime (40945901) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 405355 + ... + 405455.

It is a vampire number, since it can be written as 45459009 (with its own digits).

Almost surely, 240945905 is an apocalyptic number.

40945905 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40945905 is an abundant number, since it is smaller than the sum of its proper divisors (58579983).

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

40945905 is a wasteful number, since it uses less digits than its factorization.

40945905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 40945905 is about 6398.8987333759. The cubic root of 40945905 is about 344.6700058207.

It can be divided in two parts, 4094 and 5905, that added together give a palindrome (9999).

The spelling of 40945905 in words is "forty million, nine hundred forty-five thousand, nine hundred five".

Divisors: 1 3 5 7 9 11 13 15 21 27 33 35 39 45 55 63 65 77 81 91 99 101 105 117 135 143 165 189 195 231 273 297 303 315 351 385 405 429 455 495 505 567 585 693 707 715 819 891 909 945 1001 1053 1111 1155 1287 1313 1365 1485 1515 1755 2079 2121 2145 2457 2727 2835 3003 3333 3465 3535 3861 3939 4095 4455 4545 5005 5265 5555 6237 6363 6435 6565 7371 7777 8181 9009 9191 9999 10395 10605 11583 11817 12285 13635 14443 15015 16665 19089 19305 19695 23331 27027 27573 29997 31185 31815 35451 36855 38885 40905 43329 45045 45955 49995 57267 57915 59085 69993 72215 81081 82719 89991 95445 101101 106353 116655 129987 135135 137865 149985 177255 209979 216645 248157 286335 303303 349965 389961 405405 413595 449955 505505 531765 629937 649935 744471 909909 1049895 1169883 1240785 1516515 1949805 2729727 3149685 3722355 4549545 5849415 8189181 13648635 40945905