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40801536 = 28335903
BaseRepresentation
bin1001101110100…
…1010100000000
32211202221012000
42123221110000
540421122121
64014304000
71003543626
oct233512400
984687160
1040801536
1121038886
12117b8000
1385b7629
1455c1516
1538ae526
hex26e9500

40801536 has 72 divisors (see below), whose sum is σ = 120677760. Its totient is φ = 13598208.

The previous prime is 40801511. The next prime is 40801583. The reversal of 40801536 is 63510804.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3961 + ... + 9863.

It is an arithmetic number, because the mean of its divisors is an integer number (1676080).

Almost surely, 240801536 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 40801536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60338880).

40801536 is an abundant number, since it is smaller than the sum of its proper divisors (79876224).

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

40801536 is an equidigital number, since it uses as much as digits as its factorization.

40801536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5928 (or 5908 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 40801536 is about 6387.6080030008. The cubic root of 40801536 is about 344.2644442181.

The spelling of 40801536 in words is "forty million, eight hundred one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 5903 6912 11806 17709 23612 35418 47224 53127 70836 94448 106254 141672 159381 188896 212508 283344 318762 377792 425016 566688 637524 755584 850032 1133376 1275048 1511168 1700064 2266752 2550096 3400128 4533504 5100192 6800256 10200384 13600512 20400768 40801536