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40097964 = 22383127317
BaseRepresentation
bin1001100011110…
…1100010101100
32210110012001210
42120331202230
540231113324
63551234420
7664553454
oct230754254
983405053
1040097964
11206a8215
1211518a10
1383cc30a
14547ad64
1537c0d29
hex263d8ac

40097964 has 48 divisors (see below), whose sum is σ = 95735808. Its totient is φ = 13059648.

The previous prime is 40097933. The next prime is 40097977. The reversal of 40097964 is 46979004.

40097964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126334 + ... + 126650.

It is an arithmetic number, because the mean of its divisors is an integer number (1994496).

Almost surely, 240097964 is an apocalyptic number.

It is an amenable number.

40097964 is an abundant number, since it is smaller than the sum of its proper divisors (55637844).

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

40097964 is a wasteful number, since it uses less digits than its factorization.

40097964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 40097964 is about 6332.2953184450. The cubic root of 40097964 is about 342.2741551934.

The spelling of 40097964 in words is "forty million, ninety-seven thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 83 127 166 249 254 317 332 381 498 508 634 762 951 996 1268 1524 1902 3804 10541 21082 26311 31623 40259 42164 52622 63246 78933 80518 105244 120777 126492 157866 161036 241554 315732 483108 3341497 6682994 10024491 13365988 20048982 40097964