[go: up one dir, main page]

Search a number
-
+
99806388 = 223111779563
BaseRepresentation
bin1011111001011…
…10110010110100
320221210200121220
411330232302310
5201022301023
613523110340
72321224503
oct574566264
9227720556
1099806388
115137a020
12295123b0
13178a6646
14d38083a
158b673e3
hex5f2ecb4

99806388 has 96 divisors (see below), whose sum is σ = 272885760. Its totient is φ = 28055040.

The previous prime is 99806387. The next prime is 99806401. The reversal of 99806388 is 88360899.

It is a super-2 number, since 2×998063882 = 19922630171213088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 99806388.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99806383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176995 + ... + 177557.

It is an arithmetic number, because the mean of its divisors is an integer number (2842560).

Almost surely, 299806388 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 99806388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136442880).

99806388 is an abundant number, since it is smaller than the sum of its proper divisors (173079372).

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

99806388 is a wasteful number, since it uses less digits than its factorization.

99806388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 99806388 is about 9990.3147097576. The cubic root of 99806388 is about 463.8591340620.

The spelling of 99806388 in words is "ninety-nine million, eight hundred six thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 79 102 132 158 187 204 237 316 374 474 561 563 748 869 948 1122 1126 1343 1689 1738 2244 2252 2607 2686 3378 3476 4029 5214 5372 6193 6756 8058 9571 10428 12386 14773 16116 18579 19142 24772 28713 29546 37158 38284 44319 44477 57426 59092 74316 88638 88954 105281 114852 133431 177276 177908 210562 266862 315843 421124 489247 533724 631686 756109 978494 1263372 1467741 1512218 1956988 2268327 2935482 3024436 4536654 5870964 8317199 9073308 16634398 24951597 33268796 49903194 99806388