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491202972 = 22321319371493
BaseRepresentation
bin11101010001110…
…010100110011100
31021020021200210200
4131101302212130
52001221443342
6120424103500
715113104431
oct3521624634
91236250720
10491202972
112322a9077
12118604b90
137a9c4c60
1449345b88
152d1cb94c
hex1d47299c

491202972 has 144 divisors (see below), whose sum is σ = 1446550560. Its totient is φ = 139221504.

The previous prime is 491202937. The next prime is 491202979. The reversal of 491202972 is 279202194.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491202979) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328258 + ... + 329750.

It is an arithmetic number, because the mean of its divisors is an integer number (10045490).

Almost surely, 2491202972 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 491202972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723275280).

491202972 is an abundant number, since it is smaller than the sum of its proper divisors (955347588).

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

491202972 is a wasteful number, since it uses less digits than its factorization.

491202972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 491202972 is about 22163.0993319978. The cubic root of 491202972 is about 789.0181531868.

It can be divided in two parts, 49 and 1202972, that added together give a palindrome (1203021).

The spelling of 491202972 in words is "four hundred ninety-one million, two hundred two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 37 38 39 52 57 74 76 78 111 114 117 148 156 171 222 228 234 247 333 342 444 468 481 494 666 684 703 741 962 988 1332 1406 1443 1482 1493 1924 2109 2223 2812 2886 2964 2986 4218 4329 4446 4479 5772 5972 6327 8436 8658 8892 8958 9139 12654 13437 17316 17916 18278 19409 25308 26874 27417 28367 36556 38818 53748 54834 55241 56734 58227 77636 82251 85101 109668 110482 113468 116454 164502 165723 170202 174681 220964 232908 255303 329004 331446 340404 349362 368771 497169 510606 662892 698724 718133 737542 994338 1021212 1049579 1106313 1436266 1475084 1988676 2099158 2154399 2212626 2872532 3148737 3318939 4198316 4308798 4425252 6297474 6463197 6637878 8617596 9446211 12594948 12926394 13275756 13644527 18892422 25852788 27289054 37784844 40933581 54578108 81867162 122800743 163734324 245601486 491202972