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40251040 = 2551971277
BaseRepresentation
bin1001100110001…
…0111010100000
32210201222001021
42121202322200
540301013130
63554415224
7666061654
oct231427240
983658037
1040251040
11207a2225
1211591514
138453bab
1454baa64
15380137a
hex2662ea0

40251040 has 48 divisors (see below), whose sum is σ = 95650632. Its totient is φ = 16006144.

The previous prime is 40251031. The next prime is 40251041. The reversal of 40251040 is 4015204.

It can be written as a sum of positive squares in 4 ways, for example, as 40094224 + 156816 = 6332^2 + 396^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (40251041) by changing a digit.

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, 30882 + ... + 32158.

Almost surely, 240251040 is an apocalyptic number.

40251040 is a gapful number since it is divisible by the number (40) 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 40251040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47825316).

40251040 is an abundant number, since it is smaller than the sum of its proper divisors (55399592).

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

40251040 is a wasteful number, since it uses less digits than its factorization.

40251040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 40251040 is about 6344.3707331776. The cubic root of 40251040 is about 342.7091517387.

Adding to 40251040 its reverse (4015204), we get a palindrome (44266244).

The spelling of 40251040 in words is "forty million, two hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 197 394 788 985 1277 1576 1970 2554 3152 3940 5108 6304 6385 7880 10216 12770 15760 20432 25540 31520 40864 51080 102160 204320 251569 503138 1006276 1257845 2012552 2515690 4025104 5031380 8050208 10062760 20125520 40251040