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99994272 = 2537178753
BaseRepresentation
bin1011111010111…
…00101010100000
320222011020100120
411331130222200
5201044304042
613531120240
72322636330
oct575345240
9228136316
1099994272
11514981a4
12295a3080
1317941011
14d3cd0c0
158ba2dec
hex5f5caa0

99994272 has 96 divisors (see below), whose sum is σ = 317665152. Its totient is φ = 26886144.

The previous prime is 99994267. The next prime is 99994273. The reversal of 99994272 is 27249999.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (99994273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7048 + ... + 15800.

It is an arithmetic number, because the mean of its divisors is an integer number (3309012).

Almost surely, 299994272 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 99994272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158832576).

99994272 is an abundant number, since it is smaller than the sum of its proper divisors (217670880).

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

99994272 is a wasteful number, since it uses less digits than its factorization.

99994272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8790 (or 8782 counting only the distinct ones).

The product of its digits is 734832, while the sum is 51.

The square root of 99994272 is about 9999.7135958986. The cubic root of 99994272 is about 464.1500208518.

The spelling of 99994272 in words is "ninety-nine million, nine hundred ninety-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 5712 8753 11424 17506 26259 35012 52518 61271 70024 105036 122542 140048 148801 183813 210072 245084 280096 297602 367626 420144 446403 490168 595204 735252 840288 892806 980336 1041607 1190408 1470504 1785612 1960672 2083214 2380816 2941008 3124821 3571224 4166428 4761632 5882016 6249642 7142448 8332856 12499284 14284896 16665712 24998568 33331424 49997136 99994272