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4963400 = 2352132383
BaseRepresentation
bin10010111011110001001000
3100100011111122
4102323301020
52232312100
6254214412
760121361
oct22736110
910304448
104963400
112890092
1217b4408
13104a230
14932b68
15680985
hex4bbc48

4963400 has 96 divisors (see below), whose sum is σ = 13124160. Its totient is φ = 1731840.

The previous prime is 4963391. The next prime is 4963403. The reversal of 4963400 is 43694.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 4963400.

It is not an unprimeable number, because it can be changed into a prime (4963403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59759 + ... + 59841.

It is an arithmetic number, because the mean of its divisors is an integer number (136710).

Almost surely, 24963400 is an apocalyptic number.

4963400 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 4963400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6562080).

4963400 is an abundant number, since it is smaller than the sum of its proper divisors (8160760).

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

4963400 is a wasteful number, since it uses less digits than its factorization.

4963400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 4963400 is about 2227.8689368991. The cubic root of 4963400 is about 170.5793383250.

The spelling of 4963400 in words is "four million, nine hundred sixty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 23 25 26 40 46 50 52 65 83 92 100 104 115 130 166 184 200 230 260 299 325 332 415 460 520 575 598 650 664 830 920 1079 1150 1196 1300 1495 1660 1909 2075 2158 2300 2392 2600 2990 3320 3818 4150 4316 4600 5395 5980 7475 7636 8300 8632 9545 10790 11960 14950 15272 16600 19090 21580 24817 26975 29900 38180 43160 47725 49634 53950 59800 76360 95450 99268 107900 124085 190900 198536 215800 248170 381800 496340 620425 992680 1240850 2481700 4963400