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92742228 = 223243181331
BaseRepresentation
bin1011000011100…
…10001001010100
320110111210102100
411201302021110
5142220222403
613111442100
72204203335
oct541621124
9213453370
1092742228
1148394677
1227086330
13162a2177
14c46228c
15821e2a3
hex5872254

92742228 has 72 divisors (see below), whose sum is σ = 241937696. Its totient is φ = 29937600.

The previous prime is 92742217. The next prime is 92742229. The reversal of 92742228 is 82224729.

It is a happy number.

It is a super-2 number, since 2×927422282 = 17202241708807968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 92742192 and 92742201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92742229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280023 + ... + 280353.

Almost surely, 292742228 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 92742228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120968848).

92742228 is an abundant number, since it is smaller than the sum of its proper divisors (149195468).

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

92742228 is a wasteful number, since it uses less digits than its factorization.

92742228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 560 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 92742228 is about 9630.2766315408. The cubic root of 92742228 is about 452.6465087283.

The spelling of 92742228 in words is "ninety-two million, seven hundred forty-two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 181 258 331 362 387 516 543 662 724 774 993 1086 1324 1548 1629 1986 2172 2979 3258 3972 5958 6516 7783 11916 14233 15566 23349 28466 31132 42699 46698 56932 59911 70047 85398 93396 119822 128097 140094 170796 179733 239644 256194 280188 359466 512388 539199 718932 1078398 2156796 2576173 5152346 7728519 10304692 15457038 23185557 30914076 46371114 92742228