Search a number
-
+
97949484 = 223219891609
BaseRepresentation
bin1011101011010…
…01011100101100
320211022100102200
411311221130230
5200033340414
613415221500
72266362003
oct565513454
9224270380
1097949484
1150320996
1228977890
13173a6399
14d019c3a
1588ec109
hex5d6972c

97949484 has 72 divisors (see below), whose sum is σ = 263718000. Its totient is φ = 30564864.

The previous prime is 97949447. The next prime is 97949507. The reversal of 97949484 is 48494979.

It is a happy number.

97949484 is a `hidden beast` number, since 9 + 79 + 494 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 97949484.

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, 60072 + ... + 61680.

It is an arithmetic number, because the mean of its divisors is an integer number (3662750).

Almost surely, 297949484 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 97949484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131859000).

97949484 is an abundant number, since it is smaller than the sum of its proper divisors (165768516).

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

97949484 is a wasteful number, since it uses less digits than its factorization.

97949484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1722 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 97949484 is about 9896.9431644321. The cubic root of 97949484 is about 460.9643976314.

The spelling of 97949484 in words is "ninety-seven million, nine hundred forty-nine thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 89 114 171 178 228 267 342 356 534 684 801 1068 1602 1609 1691 3204 3218 3382 4827 5073 6436 6764 9654 10146 14481 15219 19308 20292 28962 30438 30571 57924 60876 61142 91713 122284 143201 183426 275139 286402 366852 429603 550278 572804 859206 1100556 1288809 1718412 2577618 2720819 5155236 5441638 8162457 10883276 16324914 24487371 32649828 48974742 97949484