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513040044 = 2231129223601
BaseRepresentation
bin11110100101000…
…101111010101100
31022202101010122010
4132211011322230
52022314240134
6122524121220
715466524366
oct3645057254
91282333563
10513040044
11243663640
12123996210
138239c5ba
144c1cbd36
1530091ce9
hex1e945eac

513040044 has 96 divisors (see below), whose sum is σ = 1359267840. Its totient is φ = 149184000.

The previous prime is 513040043. The next prime is 513040097. The reversal of 513040044 is 440040315.

It is a self number, because there is not a number n which added to its sum of digits gives 513040044.

It is not an unprimeable number, because it can be changed into a prime (513040043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 853344 + ... + 853944.

It is an arithmetic number, because the mean of its divisors is an integer number (14159040).

Almost surely, 2513040044 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 513040044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679633920).

513040044 is an abundant number, since it is smaller than the sum of its proper divisors (846227796).

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

513040044 is a wasteful number, since it uses less digits than its factorization.

513040044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 513040044 is about 22650.3872814572. The cubic root of 513040044 is about 800.5413232122.

Adding to 513040044 its reverse (440040315), we get a palindrome (953080359).

The spelling of 513040044 in words is "five hundred thirteen million, forty thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 223 319 348 446 601 638 669 892 957 1202 1276 1338 1803 1914 2404 2453 2676 3606 3828 4906 6467 6611 7212 7359 9812 12934 13222 14718 17429 19401 19833 25868 26444 29436 34858 38802 39666 52287 69716 71137 77604 79332 104574 134023 142274 191719 209148 213411 268046 284548 383438 402069 426822 536092 575157 766876 804138 853644 1150314 1474253 1608276 2300628 2948506 3886667 4422759 5897012 7773334 8845518 11660001 15546668 17691036 23320002 42753337 46640004 85506674 128260011 171013348 256520022 513040044