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4838707962 = 2331121315653
BaseRepresentation
bin1001000000110100…
…01101001011111010
3110111012212211111000
410200122031023322
534402202123322
62120050145430
7230623224204
oct44032151372
913435784430
104838707962
112063362a00
12b30582276
135c160800a
1433c8b7774
151d4be63ac
hex12068d2fa

4838707962 has 96 divisors (see below), whose sum is σ = 11911394880. Its totient is φ = 1454824800.

The previous prime is 4838707957. The next prime is 4838707963. The reversal of 4838707962 is 2697078384.

4838707962 is a `hidden beast` number, since 483 + 8 + 70 + 7 + 96 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4838707899 and 4838707908.

It is not an unprimeable number, because it can be changed into a prime (4838707963) 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, 853128 + ... + 858780.

It is an arithmetic number, because the mean of its divisors is an integer number (124077030).

Almost surely, 24838707962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4838707962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5955697440).

4838707962 is an abundant number, since it is smaller than the sum of its proper divisors (7072686918).

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

4838707962 is a wasteful number, since it uses less digits than its factorization.

4838707962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5817 (or 5800 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 4838707962 is about 69560.8220336706. The cubic root of 4838707962 is about 1691.3875795277.

The spelling of 4838707962 in words is "four billion, eight hundred thirty-eight million, seven hundred seven thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 131 198 242 262 297 363 393 594 726 786 1089 1179 1441 2178 2358 2882 3267 3537 4323 5653 6534 7074 8646 11306 12969 15851 16959 25938 31702 33918 38907 47553 50877 62183 77814 95106 101754 124366 142659 152631 186549 285318 305262 373098 427977 559647 684013 740543 855954 1119294 1368026 1481086 1678941 2052039 2221629 3357882 4104078 4443258 6156117 6664887 8145973 12312234 13329774 16291946 18468351 19994661 24437919 36936702 39989322 48875838 73313757 89605703 146627514 179211406 219941271 268817109 439882542 537634218 806451327 1612902654 2419353981 4838707962