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2040452412 = 2232941831723
BaseRepresentation
bin111100110011110…
…1101010100111100
312021012110201111120
41321213231110330
513134323434122
6534245550540
7101364362565
oct17147552474
95235421446
102040452412
11957867109
1248b415450
1326696babb
14154dc916c
15be20375c
hex799ed53c

2040452412 has 96 divisors (see below), whose sum is σ = 5109108480. Its totient is φ = 632593920.

The previous prime is 2040452363. The next prime is 2040452467. The reversal of 2040452412 is 2142540402.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1183383 + ... + 1185105.

It is an arithmetic number, because the mean of its divisors is an integer number (53219880).

Almost surely, 22040452412 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 2040452412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554554240).

2040452412 is an abundant number, since it is smaller than the sum of its proper divisors (3068656068).

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

2040452412 is a wasteful number, since it uses less digits than its factorization.

2040452412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2040452412 is about 45171.3671699230. The cubic root of 2040452412 is about 1268.3588887826.

Adding to 2040452412 its reverse (2142540402), we get a palindrome (4182992814).

The spelling of 2040452412 in words is "two billion, forty million, four hundred fifty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 29 41 58 82 83 87 116 123 164 166 174 246 249 332 348 492 498 996 1189 1723 2378 2407 3403 3446 3567 4756 4814 5169 6806 6892 7134 7221 9628 10209 10338 13612 14268 14442 20418 20676 28884 40836 49967 70643 98687 99934 141286 143009 149901 197374 199868 211929 282572 286018 296061 299802 394748 423858 429027 572036 592122 599604 847716 858054 1184244 1716108 2048647 4097294 4147261 5863369 6145941 8194588 8294522 11726738 12291882 12441783 16589044 17590107 23453476 24583764 24883566 35180214 49767132 70360428 170037701 340075402 510113103 680150804 1020226206 2040452412