Search a number
-
+
2040442452 = 22321983127283
BaseRepresentation
bin111100110011110…
…1010111001010100
312021012110012211200
41321213222321110
513134323124302
6534245432500
7101364321546
oct17147527124
95235405750
102040442452
1195785a684
1248b40b730
132669673c9
14154dc5696
15be20081c
hex799eae54

2040442452 has 144 divisors (see below), whose sum is σ = 5557493760. Its totient is φ = 629342784.

The previous prime is 2040442427. The next prime is 2040442499. The reversal of 2040442452 is 2542440402.

2040442452 is a `hidden beast` number, since 204 + 0 + 4 + 4 + 2 + 452 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7209903 + ... + 7210185.

Almost surely, 22040442452 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 2040442452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778746880).

2040442452 is an abundant number, since it is smaller than the sum of its proper divisors (3517051308).

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

2040442452 is a wasteful number, since it uses less digits than its factorization.

2040442452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 2040442452 is about 45171.2569229593. The cubic root of 2040442452 is about 1268.3568250450.

Adding to 2040442452 its reverse (2542440402), we get a palindrome (4582882854).

The spelling of 2040442452 in words is "two billion, forty million, four hundred forty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 83 114 127 166 171 228 249 254 283 332 342 381 498 508 566 684 747 762 849 996 1132 1143 1494 1524 1577 1698 2286 2413 2547 2988 3154 3396 4572 4731 4826 5094 5377 6308 7239 9462 9652 10188 10541 10754 14193 14478 16131 18924 21082 21508 21717 23489 28386 28956 31623 32262 35941 42164 43434 46978 48393 56772 63246 64524 70467 71882 86868 93956 94869 96786 107823 126492 140934 143764 189738 193572 200279 211401 215646 281868 323469 379476 400558 422802 431292 446291 600837 646938 682879 801116 845604 892582 1201674 1293876 1338873 1365758 1785164 1802511 2048637 2403348 2677746 2731516 2983103 3605022 4016619 4097274 5355492 5966206 6145911 7210044 8033238 8194548 8949309 11932412 12291822 16066476 17898618 24583644 26847927 35797236 53695854 56678957 107391708 113357914 170036871 226715828 340073742 510110613 680147484 1020221226 2040442452