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40695936 = 273131809
BaseRepresentation
bin1001101100111…
…1100010000000
32211120120022220
42123033202000
540404232221
64012131040
71002624021
oct233174200
984516286
1040695936
1120a76506
1211766a80
13857b548
145594c48
15388d0c6
hex26cf880

40695936 has 64 divisors (see below), whose sum is σ = 109058400. Its totient is φ = 13445120.

The previous prime is 40695917. The next prime is 40695971. The reversal of 40695936 is 63959604.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49900 + ... + 50708.

Almost surely, 240695936 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 40695936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54529200).

40695936 is an abundant number, since it is smaller than the sum of its proper divisors (68362464).

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

40695936 is a wasteful number, since it uses less digits than its factorization.

40695936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The square root of 40695936 is about 6379.3366426299. The cubic root of 40695936 is about 343.9671863418.

The spelling of 40695936 in words is "forty million, six hundred ninety-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 262 384 393 524 786 809 1048 1572 1618 2096 2427 3144 3236 4192 4854 6288 6472 8384 9708 12576 12944 16768 19416 25152 25888 38832 50304 51776 77664 103552 105979 155328 211958 310656 317937 423916 635874 847832 1271748 1695664 2543496 3391328 5086992 6782656 10173984 13565312 20347968 40695936