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40487364 = 22342931139
BaseRepresentation
bin1001101001110…
…0100111000100
32211011222020000
42122130213010
540331043424
64003441300
71001064651
oct232344704
984158200
1040487364
1120943835
1211686230
138507628
14553cc28
15384b3c9
hex269c9c4

40487364 has 120 divisors (see below), whose sum is σ = 113836800. Its totient is φ = 12519360.

The previous prime is 40487341. The next prime is 40487371. The reversal of 40487364 is 46378404.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 291207 + ... + 291345.

It is an arithmetic number, because the mean of its divisors is an integer number (948640).

Almost surely, 240487364 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 40487364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56918400).

40487364 is an abundant number, since it is smaller than the sum of its proper divisors (73349436).

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

40487364 is a wasteful number, since it uses less digits than its factorization.

40487364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 40487364 is about 6362.9681753094. The cubic root of 40487364 is about 343.3785539666.

The spelling of 40487364 in words is "forty million, four hundred eighty-seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 31 36 54 58 62 81 87 93 108 116 124 139 162 174 186 261 278 279 324 348 372 417 522 556 558 783 834 837 899 1044 1116 1251 1566 1668 1674 1798 2349 2502 2511 2697 3132 3348 3596 3753 4031 4309 4698 5004 5022 5394 7506 8062 8091 8618 9396 10044 10788 11259 12093 12927 15012 16124 16182 17236 22518 24186 24273 25854 32364 36279 38781 45036 48372 48546 51708 72558 72819 77562 97092 108837 116343 124961 145116 145638 155124 217674 232686 249922 291276 326511 349029 374883 435348 465372 499844 653022 698058 749766 1124649 1306044 1396116 1499532 2249298 3373947 4498596 6747894 10121841 13495788 20243682 40487364