Search a number
-
+
40879104 = 210371901
BaseRepresentation
bin1001101111110…
…0010000000000
32211220212120220
42123330100000
540431112404
64020103040
71004316030
oct233742000
984825526
1040879104
1121091092
1211834a80
138613a26
1456018c0
1538c74d9
hex26fc400

40879104 has 88 divisors (see below), whose sum is σ = 124588608. Its totient is φ = 11673600.

The previous prime is 40879099. The next prime is 40879109. The reversal of 40879104 is 40197804.

It is an interprime number because it is at equal distance from previous prime (40879099) and next prime (40879109).

It is a super-2 number, since 2×408791042 = 3342202287685632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40879109) 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, 20554 + ... + 22454.

Almost surely, 240879104 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 40879104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62294304).

40879104 is an abundant number, since it is smaller than the sum of its proper divisors (83709504).

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

40879104 is a wasteful number, since it uses less digits than its factorization.

40879104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 40879104 is about 6393.6768764147. The cubic root of 40879104 is about 344.4824670555.

The spelling of 40879104 in words is "forty million, eight hundred seventy-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 1901 2688 3072 3584 3802 5376 5703 7168 7604 10752 11406 13307 15208 21504 22812 26614 30416 39921 45624 53228 60832 79842 91248 106456 121664 159684 182496 212912 243328 319368 364992 425824 486656 638736 729984 851648 973312 1277472 1459968 1703296 1946624 2554944 2919936 3406592 5109888 5839872 6813184 10219776 13626368 20439552 40879104