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40497984 = 263270309
BaseRepresentation
bin1001101001111…
…1001101000000
32211012111210100
42122133031000
540331413414
64004002400
71001140632
oct232371500
984174710
1040497984
112095080a
1211690400
13850c407
145542a52
15384e609
hex269f340

40497984 has 42 divisors (see below), whose sum is σ = 116081810. Its totient is φ = 13499136.

The previous prime is 40497983. The next prime is 40498019. The reversal of 40497984 is 48979404.

It can be written as a sum of positive squares in only one way, i.e., 28387584 + 12110400 = 5328^2 + 3480^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40497983) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34579 + ... + 35730.

Almost surely, 240497984 is an apocalyptic number.

It is an amenable number.

40497984 is an abundant number, since it is smaller than the sum of its proper divisors (75583826).

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

40497984 is a wasteful number, since it uses less digits than its factorization.

40497984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70327 (or 70314 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 40497984 is about 6363.8026367888. The cubic root of 40497984 is about 343.4085745383.

The spelling of 40497984 in words is "forty million, four hundred ninety-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 70309 140618 210927 281236 421854 562472 632781 843708 1124944 1265562 1687416 2249888 2531124 3374832 4499776 5062248 6749664 10124496 13499328 20248992 40497984