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2450421468 = 22321129379563
BaseRepresentation
bin1001001000001110…
…0111011011011100
320022202220022022200
42102003213123130
520004301441333
61043053011500
7114503144625
oct22203473334
96282808280
102450421468
111048220a10
12584783b90
13300890b41
14193626a4c
15e51d5c13
hex920e76dc

2450421468 has 144 divisors (see below), whose sum is σ = 7021123200. Its totient is φ = 713784960.

The previous prime is 2450421461. The next prime is 2450421473. The reversal of 2450421468 is 8641240542.

2450421468 is a `hidden beast` number, since 2 + 4 + 504 + 2 + 146 + 8 = 666.

2450421468 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2450421461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4352155 + ... + 4352717.

It is an arithmetic number, because the mean of its divisors is an integer number (48757800).

Almost surely, 22450421468 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 2450421468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3510561600).

2450421468 is an abundant number, since it is smaller than the sum of its proper divisors (4570701732).

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

2450421468 is a wasteful number, since it uses less digits than its factorization.

2450421468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2450421468 is about 49501.7319696998. The cubic root of 2450421468 is about 1348.1770489801.

The spelling of 2450421468 in words is "two billion, four hundred fifty million, four hundred twenty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 379 396 522 563 638 758 957 1044 1126 1137 1276 1516 1689 1914 2252 2274 2871 3378 3411 3828 4169 4548 5067 5742 6193 6756 6822 8338 10134 10991 11484 12386 12507 13644 16327 16676 18579 20268 21982 24772 25014 32654 32973 37158 37521 43964 48981 50028 55737 65308 65946 74316 75042 97962 98919 111474 120901 131892 146943 150084 179597 195924 197838 213377 222948 241802 293886 359194 362703 395676 426754 483604 538791 587772 640131 718388 725406 853508 1077582 1088109 1280262 1450812 1616373 1920393 2155164 2176218 2347147 2560524 3232746 3840786 4352436 4694294 6187933 6465492 7041441 7681572 9388588 12375866 14082882 18563799 21124323 24751732 28165764 37127598 42248646 55691397 68067263 74255196 84497292 111382794 136134526 204201789 222765588 272269052 408403578 612605367 816807156 1225210734 2450421468