Search a number
-
+
99051072 = 2633773191
BaseRepresentation
bin1011110011101…
…10011001000000
320220101022112020
411321312121000
5200324113242
613455001440
72311630431
oct571663100
9226338466
1099051072
1150a0359a
1229209280
13176a0903
14d225488
158a686ec
hex5e76640

99051072 has 112 divisors (see below), whose sum is σ = 274271232. Its totient is φ = 31518720.

The previous prime is 99051067. The next prime is 99051079. The reversal of 99051072 is 27015099.

It is a super-2 number, since 2×990510722 = 19622229728698368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (99051079) 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 15 ways as a sum of consecutive naturals, for example, 518497 + ... + 518687.

Almost surely, 299051072 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 99051072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137135616).

99051072 is an abundant number, since it is smaller than the sum of its proper divisors (175220160).

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

99051072 is a wasteful number, since it uses less digits than its factorization.

99051072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 33.

The square root of 99051072 is about 9952.4405047204. The cubic root of 99051072 is about 462.6860368699.

The spelling of 99051072 in words is "ninety-nine million, fifty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 73 74 96 111 146 148 191 192 219 222 292 296 382 438 444 573 584 592 764 876 888 1146 1168 1184 1528 1752 1776 2292 2336 2368 2701 3056 3504 3552 4584 4672 5402 6112 7008 7067 7104 8103 9168 10804 12224 13943 14016 14134 16206 18336 21201 21608 27886 28268 32412 36672 41829 42402 43216 55772 56536 64824 83658 84804 86432 111544 113072 129648 167316 169608 172864 223088 226144 259296 334632 339216 446176 452288 515891 518592 669264 678432 892352 1031782 1338528 1356864 1547673 2063564 2677056 3095346 4127128 6190692 8254256 12381384 16508512 24762768 33017024 49525536 99051072