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40019952 = 2437119107
BaseRepresentation
bin1001100010101…
…0011111110000
32210022020001110
42120222133300
540221114302
63545433320
7664110150
oct230523760
983266043
1040019952
1120654645
121149b840
1383a295b
14545a760
1537a7b6c
hex262a7f0

40019952 has 40 divisors (see below), whose sum is σ = 118155136. Its totient is φ = 11434176.

The previous prime is 40019939. The next prime is 40019953. The reversal of 40019952 is 25991004.

It is a happy number.

40019952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40019953) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 59218 + ... + 59889.

Almost surely, 240019952 is an apocalyptic number.

40019952 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

40019952 is an abundant number, since it is smaller than the sum of its proper divisors (78135184).

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

40019952 is a wasteful number, since it uses less digits than its factorization.

40019952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119125 (or 119119 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 40019952 is about 6326.1324677879. The cubic root of 40019952 is about 342.0520422838.

The spelling of 40019952 in words is "forty million, nineteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 119107 238214 357321 476428 714642 833749 952856 1429284 1667498 1905712 2501247 2858568 3334996 5002494 5717136 6669992 10004988 13339984 20009976 40019952