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40261968 = 243393199
BaseRepresentation
bin1001100110010…
…1100101010000
32210202112001000
42121211211100
540301340333
63554542000
7666135555
oct231454520
983675030
1040261968
11207aa45a
1211597900
138458b66
1454c0a2c
153804713
hex2665950

40261968 has 40 divisors (see below), whose sum is σ = 115568000. Its totient is φ = 13420512.

The previous prime is 40261943. The next prime is 40261999. The reversal of 40261968 is 86916204.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 46168 + ... + 47031.

It is an arithmetic number, because the mean of its divisors is an integer number (2889200).

Almost surely, 240261968 is an apocalyptic number.

40261968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40261968 is an abundant number, since it is smaller than the sum of its proper divisors (75306032).

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

40261968 is a wasteful number, since it uses less digits than its factorization.

40261968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93216 (or 93204 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 40261968 is about 6345.2319106554. The cubic root of 40261968 is about 342.7401636639.

It can be divided in two parts, 4026196 and 8, that added together give a palindrome (4026204).

The spelling of 40261968 in words is "forty million, two hundred sixty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 93199 186398 279597 372796 559194 745592 838791 1118388 1491184 1677582 2236776 2516373 3355164 4473552 5032746 6710328 10065492 13420656 20130984 40261968