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49959402256 = 241721921732
BaseRepresentation
bin101110100001110011…
…111111101100010000
311202221202102120222201
4232201303333230100
51304304101333011
634541231212544
73416016624661
oct564163775420
9152852376881
1049959402256
111a2078643a5
129823377154
1349325270aa
1425bd1a3368
151476025cc1
hexba1cffb10

49959402256 has 135 divisors (see below), whose sum is σ = 109152785631. Its totient is φ = 22144177152.

The previous prime is 49959402217. The next prime is 49959402271. The reversal of 49959402256 is 65220495994.

The square root of 49959402256 is 223516.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 24487242256 + 25472160000 = 156484^2 + 159600^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 49959402197 and 49959402206.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 288782586 + ... + 288782758.

Almost surely, 249959402256 is an apocalyptic number.

49959402256 is the 223516-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49959402256

49959402256 is an abundant number, since it is smaller than the sum of its proper divisors (59193383375).

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

49959402256 is a wasteful number, since it uses less digits than its factorization.

49959402256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 55.

The spelling of 49959402256 in words is "forty-nine billion, nine hundred fifty-nine million, four hundred two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 152 173 272 289 304 323 346 361 578 646 692 722 1156 1292 1384 1444 2312 2584 2768 2888 2941 3287 4624 5168 5491 5776 5882 6137 6574 10982 11764 12274 13148 21964 23528 24548 26296 29929 43928 47056 49096 49997 52592 55879 59858 62453 87856 98192 99994 104329 111758 119716 124906 199988 208658 223516 239432 249812 399976 417316 447032 478864 499624 508793 568651 799952 834632 894064 949943 999248 1017586 1061701 1137302 1669264 1899886 2035172 2123402 2274604 3799772 4070344 4246804 4549208 7599544 8140688 8493608 8649481 9098416 9667067 10804369 15199088 16987216 17298962 18048917 19334134 21608738 34597924 36097834 38668268 43217476 69195848 72195668 77336536 86434952 138391696 144391336 154673072 164340139 172869904 183674273 288782672 328680278 367348546 657360556 734697092 1314721112 1469394184 2629442224 2938788368 3122462641 6244925282 12489850564 24979701128 49959402256