[go: up one dir, main page]

Search a number
-
+
99204352 = 281322293
BaseRepresentation
bin1011110100110…
…11110100000000
320220200002210021
411322123310000
5200344014402
613502143224
72313136342
oct572336400
9226602707
1099204352
1150aa8775
1229281b14
1317725600
14d265292
158a98d37
hex5e9bd00

99204352 has 54 divisors (see below), whose sum is σ = 214518822. Its totient is φ = 45766656.

The previous prime is 99204319. The next prime is 99204353. The reversal of 99204352 is 25340299.

It can be written as a sum of positive squares in 3 ways, for example, as 1115136 + 98089216 = 1056^2 + 9904^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99204353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42118 + ... + 44410.

Almost surely, 299204352 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 99204352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107259411).

99204352 is an abundant number, since it is smaller than the sum of its proper divisors (115314470).

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

99204352 is a wasteful number, since it uses less digits than its factorization.

99204352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 99204352 is about 9960.1381516523. The cubic root of 99204352 is about 462.9245803570.

The spelling of 99204352 in words is "ninety-nine million, two hundred four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 676 832 1352 1664 2293 2704 3328 4586 5408 9172 10816 18344 21632 29809 36688 43264 59618 73376 119236 146752 238472 293504 387517 476944 587008 775034 953888 1550068 1907776 3100136 3815552 6200272 7631104 12400544 24801088 49602176 99204352