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40053888 = 273274967
BaseRepresentation
bin1001100011001…
…0110010000000
32210100221121100
42120302302000
540223211023
63550254400
7664311120
oct230626200
983327540
1040053888
1120678096
12114b7400
1383b5234
145468c80
1537b2c43
hex2632c80

40053888 has 96 divisors (see below), whose sum is σ = 131751360. Its totient is φ = 11441664.

The previous prime is 40053877. The next prime is 40053889. The reversal of 40053888 is 88835004.

40053888 is a `hidden beast` number, since 40 + 0 + 538 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (40053889) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5581 + ... + 10547.

It is an arithmetic number, because the mean of its divisors is an integer number (1372410).

Almost surely, 240053888 is an apocalyptic number.

40053888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40053888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65875680).

40053888 is an abundant number, since it is smaller than the sum of its proper divisors (91697472).

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

40053888 is a wasteful number, since it uses less digits than its factorization.

40053888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4994 (or 4979 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 40053888 is about 6328.8141069240. The cubic root of 40053888 is about 342.1486990596.

The spelling of 40053888 in words is "forty million, fifty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 4967 8064 9934 14901 19868 29802 34769 39736 44703 59604 69538 79472 89406 104307 119208 139076 158944 178812 208614 238416 278152 312921 317888 357624 417228 476832 556304 625842 635776 715248 834456 953664 1112608 1251684 1430496 1668912 1907328 2225216 2503368 2860992 3337824 4450432 5006736 5721984 6675648 10013472 13351296 20026944 40053888