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4961442024 = 2333711298307
BaseRepresentation
bin1001001111011100…
…11001100011101000
3110210202211100222000
410213232121203220
540130112121044
62140152531000
7233643363360
oct44756314350
913722740860
104961442024
112116671910
12b656b0a60
13610b7b516
14350d059a0
151e088bd69
hex127b998e8

4961442024 has 128 divisors (see below), whose sum is σ = 17182540800. Its totient is φ = 1288681920.

The previous prime is 4961442001. The next prime is 4961442029. The reversal of 4961442024 is 4202441694.

It is a happy number.

4961442024 is a `hidden beast` number, since 496 + 144 + 2 + 0 + 24 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4961442024.

It is not an unprimeable number, because it can be changed into a prime (4961442029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132522 + ... + 165785.

It is an arithmetic number, because the mean of its divisors is an integer number (134238600).

Almost surely, 24961442024 is an apocalyptic number.

4961442024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4961442024 is an abundant number, since it is smaller than the sum of its proper divisors (12221098776).

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

4961442024 is a wasteful number, since it uses less digits than its factorization.

4961442024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298340 (or 298330 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4961442024 is about 70437.5043850930. The cubic root of 4961442024 is about 1705.5690516911.

It can be divided in two parts, 4961 and 442024, that added together give a triangular number (446985 = T945).

The spelling of 4961442024 in words is "four billion, nine hundred sixty-one million, four hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 84 88 99 108 126 132 154 168 189 198 216 231 252 264 297 308 378 396 462 504 594 616 693 756 792 924 1188 1386 1512 1848 2079 2376 2772 4158 5544 8316 16632 298307 596614 894921 1193228 1789842 2088149 2386456 2684763 3281377 3579684 4176298 5369526 6264447 6562754 7159368 8054289 8352596 9844131 10739052 12528894 13125508 16108578 16705192 18793341 19688262 21478104 22969639 25057788 26251016 29532393 32217156 37586682 39376524 45939278 50115576 56380023 59064786 64434312 68908917 75173364 78753048 88597179 91878556 112760046 118129572 137817834 150346728 177194358 183757112 206726751 225520092 236259144 275635668 354388716 413453502 451040184 551271336 620180253 708777432 826907004 1240360506 1653814008 2480721012 4961442024