Search a number
-
+
99413776 = 247111931137
BaseRepresentation
bin1011110110011…
…10111100010000
320221001202001201
411323032330100
5200422220101
613510440544
72315001040
oct573167420
9227052051
1099413776
1151131050
1229363154
1317799a27
14d2bb720
158adae01
hex5ecef10

99413776 has 160 divisors (see below), whose sum is σ = 262840320. Its totient is φ = 35251200.

The previous prime is 99413767. The next prime is 99413779. The reversal of 99413776 is 67731499.

It is not an unprimeable number, because it can be changed into a prime (99413779) 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, 725580 + ... + 725716.

It is an arithmetic number, because the mean of its divisors is an integer number (1642752).

Almost surely, 299413776 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 99413776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131420160).

99413776 is an abundant number, since it is smaller than the sum of its proper divisors (163426544).

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

99413776 is a wasteful number, since it uses less digits than its factorization.

99413776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 207 counting only the distinct ones).

The product of its digits is 285768, while the sum is 46.

The square root of 99413776 is about 9970.6457163014. The cubic root of 99413776 is about 463.2501016180.

The spelling of 99413776 in words is "ninety-nine million, four hundred thirteen thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 31 38 44 56 62 76 77 88 112 124 133 137 152 154 176 209 217 248 266 274 304 308 341 418 434 496 532 548 589 616 682 836 868 959 1064 1096 1178 1232 1364 1463 1507 1672 1736 1918 2128 2192 2356 2387 2603 2728 2926 3014 3344 3472 3836 4123 4247 4712 4774 5206 5456 5852 6028 6479 7672 8246 8494 9424 9548 10412 10549 11704 12056 12958 15344 16492 16988 18221 19096 20824 21098 23408 24112 25916 28633 29729 32984 33976 36442 38192 41648 42196 45353 46717 51832 57266 59458 65968 67952 72884 80693 84392 90706 93434 103664 114532 118916 145768 161386 168784 181412 186868 200431 229064 237832 291536 322772 327019 362824 373736 400862 458128 475664 564851 645544 654038 725648 747472 801724 887623 1129702 1291088 1308076 1603448 1775246 2259404 2616152 3206896 3550492 4518808 5232304 6213361 7100984 9037616 12426722 14201968 24853444 49706888 99413776