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40270752 = 2532672087
BaseRepresentation
bin1001100110011…
…1101110100000
32210202222002100
42121213232200
540302131002
63555050400
7666203304
oct231475640
983688070
1040270752
1120806015
12115a0a00
13845cb62
1454c3d04
15380711c
hex2667ba0

40270752 has 72 divisors (see below), whose sum is σ = 116284896. Its totient is φ = 13216896.

The previous prime is 40270751. The next prime is 40270753. The reversal of 40270752 is 25707204.

40270752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40270751) and next prime (40270753).

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

It is not an unprimeable number, because it can be changed into a prime (40270751) 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 11 ways as a sum of consecutive naturals, for example, 18253 + ... + 20339.

It is an arithmetic number, because the mean of its divisors is an integer number (1615068).

Almost surely, 240270752 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 40270752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58142448).

40270752 is an abundant number, since it is smaller than the sum of its proper divisors (76014144).

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

40270752 is a wasteful number, since it uses less digits than its factorization.

40270752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 40270752 is about 6345.9240461890. The cubic root of 40270752 is about 342.7650871904.

Adding to 40270752 its reverse (25707204), we get a palindrome (65977956).

The spelling of 40270752 in words is "forty million, two hundred seventy thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 201 268 288 402 536 603 804 1072 1206 1608 2087 2144 2412 3216 4174 4824 6261 6432 8348 9648 12522 16696 18783 19296 25044 33392 37566 50088 66784 75132 100176 139829 150264 200352 279658 300528 419487 559316 601056 838974 1118632 1258461 1677948 2237264 2516922 3355896 4474528 5033844 6711792 10067688 13423584 20135376 40270752