Search a number
-
+
4919292 = 22367241
BaseRepresentation
bin10010110000111111111100
3100020221000000
4102300333330
52224404132
6253234300
756545650
oct22607774
910227000
104919292
11285aa34
121792990
131033131
14920a60
1567287c
hex4b0ffc

4919292 has 84 divisors (see below), whose sum is σ = 14812336. Its totient is φ = 1399680.

The previous prime is 4919269. The next prime is 4919323. The reversal of 4919292 is 2929194.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 20292 + ... + 20532.

Almost surely, 24919292 is an apocalyptic number.

4919292 is a gapful number since it is divisible by the number (42) 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 4919292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7406168).

4919292 is an abundant number, since it is smaller than the sum of its proper divisors (9893044).

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

4919292 is a wasteful number, since it uses less digits than its factorization.

4919292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 253 counting only the distinct ones).

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

The square root of 4919292 is about 2217.9477000146. The cubic root of 4919292 is about 170.0725411290.

It can be divided in two parts, 49192 and 92, that added together give a square (49284 = 2222).

The spelling of 4919292 in words is "four million, nine hundred nineteen thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 241 243 252 324 378 482 486 567 723 729 756 964 972 1134 1446 1458 1687 1701 2169 2268 2892 2916 3374 3402 4338 5061 5103 6507 6748 6804 8676 10122 10206 13014 15183 19521 20244 20412 26028 30366 39042 45549 58563 60732 78084 91098 117126 136647 175689 182196 234252 273294 351378 409941 546588 702756 819882 1229823 1639764 2459646 4919292