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4969100 = 2252173779
BaseRepresentation
bin10010111101001010001100
3100100110022202
4102331022030
52233002400
6254301032
760144113
oct22751214
910313282
104969100
1128943a4
1217b7778
13104c9c6
14934c7a
156824d5
hex4bd28c

4969100 has 72 divisors (see below), whose sum is σ = 11874240. Its totient is φ = 1797120.

The previous prime is 4969093. The next prime is 4969141. The reversal of 4969100 is 19694.

It is an unprimeable number.

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, 62861 + ... + 62939.

It is an arithmetic number, because the mean of its divisors is an integer number (164920).

Almost surely, 24969100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4969100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5937120).

4969100 is an abundant number, since it is smaller than the sum of its proper divisors (6905140).

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

4969100 is a wasteful number, since it uses less digits than its factorization.

4969100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 4969100 is about 2229.1478192350. The cubic root of 4969100 is about 170.6446114756.

The spelling of 4969100 in words is "four million, nine hundred sixty-nine thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 37 50 68 74 79 85 100 148 158 170 185 316 340 370 395 425 629 740 790 850 925 1258 1343 1580 1700 1850 1975 2516 2686 2923 3145 3700 3950 5372 5846 6290 6715 7900 11692 12580 13430 14615 15725 26860 29230 31450 33575 49691 58460 62900 67150 73075 99382 134300 146150 198764 248455 292300 496910 993820 1242275 2484550 4969100