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4916196 = 22321729277
BaseRepresentation
bin10010110000001111100100
3100020202202100
4102300033210
52224304241
6253212100
756533635
oct22601744
910222670
104916196
11285867a
121791030
1310318bc
1491d88c
156719b6
hex4b03e4

4916196 has 72 divisors (see below), whose sum is σ = 13660920. Its totient is φ = 1483776.

The previous prime is 4916189. The next prime is 4916201. The reversal of 4916196 is 6916194.

4916196 = T198 + T199 + ... + T333.

It can be written as a sum of positive squares in 4 ways, for example, as 656100 + 4260096 = 810^2 + 2064^2 .

It is a super-2 number, since 2×49161962 = 48337966220832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4916196.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17610 + ... + 17886.

It is an arithmetic number, because the mean of its divisors is an integer number (189735).

Almost surely, 24916196 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 4916196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6830460).

4916196 is an abundant number, since it is smaller than the sum of its proper divisors (8744724).

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

4916196 is a wasteful number, since it uses less digits than its factorization.

4916196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 328 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 4916196 is about 2217.2496476491. The cubic root of 4916196 is about 170.0368547547.

The spelling of 4916196 in words is "four million, nine hundred sixteen thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 29 34 36 51 58 68 87 102 116 153 174 204 261 277 306 348 493 522 554 612 831 986 1044 1108 1479 1662 1972 2493 2958 3324 4437 4709 4986 5916 8033 8874 9418 9972 14127 16066 17748 18836 24099 28254 32132 42381 48198 56508 72297 84762 96396 136561 144594 169524 273122 289188 409683 546244 819366 1229049 1638732 2458098 4916196