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99361024 = 2872892
BaseRepresentation
bin1011110110000…
…10000100000000
320220222001200221
411323002010000
5200414023044
613505352424
72314361200
oct573020400
9226861627
1099361024
11510a5454
1229338714
131777ba09
14d2a6400
158aca484
hex5ec2100

99361024 has 81 divisors (see below), whose sum is σ = 233336397. Its totient is φ = 42104832.

The previous prime is 99361007. The next prime is 99361027. The reversal of 99361024 is 42016399.

The square root of 99361024 is 9968.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 19079424 + 80281600 = 4368^2 + 8960^2 .

It is a super-2 number, since 2×993610242 = 19745226180657152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (99361027) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1116372 + ... + 1116460.

Almost surely, 299361024 is an apocalyptic number.

99361024 is the 9968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99361024

99361024 is an abundant number, since it is smaller than the sum of its proper divisors (133975373).

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

99361024 is an frugal number, since it uses more digits than its factorization.

99361024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The cubic root of 99361024 is about 463.1681488813.

Multiplying 99361024 by its product of nonzero digits (11664), we get a square (1158946983936 = 10765442).

The spelling of 99361024 in words is "ninety-nine million, three hundred sixty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 89 98 112 128 178 196 224 256 356 392 448 623 712 784 896 1246 1424 1568 1792 2492 2848 3136 4361 4984 5696 6272 7921 8722 9968 11392 12544 15842 17444 19936 22784 31684 34888 39872 55447 63368 69776 79744 110894 126736 139552 159488 221788 253472 279104 388129 443576 506944 558208 776258 887152 1013888 1116416 1552516 1774304 2027776 3105032 3548608 6210064 7097216 12420128 14194432 24840256 49680512 99361024