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4836640 = 255193743
BaseRepresentation
bin10010011100110100100000
3100002201121211
4102130310200
52214233030
6251355504
756052664
oct22346440
910081554
104836640
112803926
121752b94
131004623
148dc8a4
1565812a
hex49cd20

4836640 has 96 divisors (see below), whose sum is σ = 12640320. Its totient is φ = 1741824.

The previous prime is 4836631. The next prime is 4836641. The reversal of 4836640 is 466384.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4836641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112459 + ... + 112501.

It is an arithmetic number, because the mean of its divisors is an integer number (131670).

Almost surely, 24836640 is an apocalyptic number.

4836640 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 4836640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6320160).

4836640 is an abundant number, since it is smaller than the sum of its proper divisors (7803680).

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

4836640 is a wasteful number, since it uses less digits than its factorization.

4836640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 4836640 is about 2199.2362310584. The cubic root of 4836640 is about 169.1146590702.

It can be divided in two parts, 4836 and 640, that added together give a square (5476 = 742).

The spelling of 4836640 in words is "four million, eight hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 37 38 40 43 74 76 80 86 95 148 152 160 172 185 190 215 296 304 344 370 380 430 592 608 688 703 740 760 817 860 1184 1376 1406 1480 1520 1591 1634 1720 2812 2960 3040 3182 3268 3440 3515 4085 5624 5920 6364 6536 6880 7030 7955 8170 11248 12728 13072 14060 15910 16340 22496 25456 26144 28120 30229 31820 32680 50912 56240 60458 63640 65360 112480 120916 127280 130720 151145 241832 254560 302290 483664 604580 967328 1209160 2418320 4836640