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4950426456 = 233431281877
BaseRepresentation
bin1001001110001000…
…11000001101011000
3110210000002201110000
410213010120031120
540114302121311
62135120453000
7233450634123
oct44704301530
913700081400
104950426456
112110428738
12b61a7a160
1360b7c2631
1434d6793ba
151de913056
hex127118358

4950426456 has 160 divisors (see below), whose sum is σ = 14380375680. Its totient is φ = 1589414400.

The previous prime is 4950426427. The next prime is 4950426457. The reversal of 4950426456 is 6546240594.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4950426457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5644290 + ... + 5645166.

It is an arithmetic number, because the mean of its divisors is an integer number (89877348).

Almost surely, 24950426456 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 4950426456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7190187840).

4950426456 is an abundant number, since it is smaller than the sum of its proper divisors (9429949224).

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

4950426456 is a wasteful number, since it uses less digits than its factorization.

4950426456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 4950426456 is about 70359.2670229018. The cubic root of 4950426456 is about 1704.3058615805.

The spelling of 4950426456 in words is "four billion, nine hundred fifty million, four hundred twenty-six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 248 279 281 324 372 558 562 648 744 837 843 877 1116 1124 1674 1686 1754 2232 2248 2511 2529 2631 3348 3372 3508 5022 5058 5262 6696 6744 7016 7587 7893 8711 10044 10116 10524 15174 15786 17422 20088 20232 21048 22761 23679 26133 27187 30348 31572 34844 45522 47358 52266 54374 60696 63144 69688 71037 78399 81561 91044 94716 104532 108748 142074 156798 163122 182088 189432 209064 217496 235197 244683 246437 284148 313596 326244 470394 489366 492874 568296 627192 652488 705591 734049 739311 940788 978732 985748 1411182 1468098 1478622 1881576 1957464 1971496 2202147 2217933 2822364 2936196 2957244 4404294 4435866 5644728 5872392 5914488 6653799 7639547 8808588 8871732 13307598 15279094 17617176 17743464 19961397 22918641 26615196 30558188 39922794 45837282 53230392 61116376 68755923 79845588 91674564 137511846 159691176 183349128 206267769 275023692 412535538 550047384 618803307 825071076 1237606614 1650142152 2475213228 4950426456