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4826269920 = 253597103657
BaseRepresentation
bin1000111111010101…
…10000100011100000
3110110100110220200210
410133222300203200
534341011114140
62114523414120
7230412421533
oct43752604340
913410426623
104826269920
11205733802a
12b28384340
135bbb71824
1433ad9aa1a
151d3a8ad80
hex11fab08e0

4826269920 has 96 divisors (see below), whose sum is σ = 15359627808. Its totient is φ = 1273724928.

The previous prime is 4826269901. The next prime is 4826269957. The reversal of 4826269920 is 299626284.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4826269920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5269 + ... + 98388.

It is an arithmetic number, because the mean of its divisors is an integer number (159996123).

Almost surely, 24826269920 is an apocalyptic number.

4826269920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4826269920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7679813904).

4826269920 is an abundant number, since it is smaller than the sum of its proper divisors (10533357888).

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

4826269920 is a wasteful number, since it uses less digits than its factorization.

4826269920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103772 (or 103764 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 4826269920 is about 69471.3604300362. The cubic root of 4826269920 is about 1689.9370820267.

The spelling of 4826269920 in words is "four billion, eight hundred twenty-six million, two hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 97 120 160 194 240 291 388 480 485 582 776 970 1164 1455 1552 1940 2328 2910 3104 3880 4656 5820 7760 9312 11640 15520 23280 46560 103657 207314 310971 414628 518285 621942 829256 1036570 1243884 1554855 1658512 2073140 2487768 3109710 3317024 4146280 4975536 6219420 8292560 9951072 10054729 12438840 16585120 20109458 24877680 30164187 40218916 49755360 50273645 60328374 80437832 100547290 120656748 150820935 160875664 201094580 241313496 301641870 321751328 402189160 482626992 603283740 804378320 965253984 1206567480 1608756640 2413134960 4826269920