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40726368 = 253347137
BaseRepresentation
bin1001101101011…
…0111101100000
32211122010002000
42123112331200
540411220433
64012524000
71003111524
oct233267540
984563060
1040726368
1120a97361
1211780600
13858c357
1455a1d84
153897113
hex26d6f60

40726368 has 48 divisors (see below), whose sum is σ = 118787760. Its totient is φ = 13575168.

The previous prime is 40726363. The next prime is 40726369. The reversal of 40726368 is 86362704.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40726363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22705 + ... + 24432.

It is an arithmetic number, because the mean of its divisors is an integer number (2474745).

Almost surely, 240726368 is an apocalyptic number.

40726368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40726368 is an abundant number, since it is smaller than the sum of its proper divisors (78061392).

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

40726368 is a wasteful number, since it uses less digits than its factorization.

40726368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47156 (or 47142 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 40726368 is about 6381.7213978675. The cubic root of 40726368 is about 344.0529033473.

It can be divided in two parts, 4072 and 6368, that added together give a triangular number (10440 = T144).

The spelling of 40726368 in words is "forty million, seven hundred twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 47137 94274 141411 188548 282822 377096 424233 565644 754192 848466 1131288 1272699 1508384 1696932 2262576 2545398 3393864 4525152 5090796 6787728 10181592 13575456 20363184 40726368