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40503645 = 3457213157
BaseRepresentation
bin1001101010000…
…0100101011101
32211012210120000
42122200211131
540332104040
64004044513
71001163300
oct232404535
984183500
1040503645
1120954a96
1211693739
138511b70
145544b37
153851130
hex26a095d

40503645 has 120 divisors (see below), whose sum is σ = 91536984. Its totient is φ = 16982784.

The previous prime is 40503601. The next prime is 40503653. The reversal of 40503645 is 54630504.

It can be written as a sum of positive squares in 4 ways, for example, as 15876 + 40487769 = 126^2 + 6363^2 .

It is not a de Polignac number, because 40503645 - 26 = 40503581 is a prime.

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

40503645 is a modest number, since divided by 3645 gives 405 as remainder.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 257907 + ... + 258063.

Almost surely, 240503645 is an apocalyptic number.

40503645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40503645 is an abundant number, since it is smaller than the sum of its proper divisors (51033339).

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

40503645 is a wasteful number, since it uses less digits than its factorization.

40503645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 40503645 is about 6364.2474024821. The cubic root of 40503645 is about 343.4245748851.

The spelling of 40503645 in words is "forty million, five hundred three thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 49 63 65 81 91 105 117 135 147 157 189 195 245 273 315 351 405 441 455 471 567 585 637 735 785 819 945 1053 1099 1323 1365 1413 1755 1911 2041 2205 2355 2457 2835 3185 3297 3969 4095 4239 5265 5495 5733 6123 6615 7065 7371 7693 9555 9891 10205 12285 12717 14287 16485 17199 18369 19845 21195 23079 28665 29673 30615 36855 38465 42861 49455 51597 55107 63585 69237 71435 85995 89019 91845 100009 115395 128583 148365 165321 207711 214305 257985 275535 300027 346185 385749 445095 500045 623133 642915 826605 900081 1038555 1157247 1500135 1928745 2700243 3115665 4500405 5786235 8100729 13501215 40503645