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92444742 = 232131721367
BaseRepresentation
bin1011000001010…
…01100001000110
320102221200100100
411200221201012
5142131212432
613101224530
72201524125
oct540514106
9212850310
1092444742
1148201115
1226b62146
13161c9940
14c3c5abc
1581b107c
hex5829846

92444742 has 72 divisors (see below), whose sum is σ = 229306896. Its totient is φ = 26751744.

The previous prime is 92444741. The next prime is 92444743. The reversal of 92444742 is 24744429.

It is an interprime number because it is at equal distance from previous prime (92444741) and next prime (92444743).

It is a junction number, because it is equal to n+sod(n) for n = 92444697 and 92444706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92444741) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66943 + ... + 68309.

It is an arithmetic number, because the mean of its divisors is an integer number (3184818).

Almost surely, 292444742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92444742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114653448).

92444742 is an abundant number, since it is smaller than the sum of its proper divisors (136862154).

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

92444742 is a wasteful number, since it uses less digits than its factorization.

92444742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1402 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 92444742 is about 9614.8188750491. The cubic root of 92444742 is about 452.1620108663.

The spelling of 92444742 in words is "ninety-two million, four hundred forty-four thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 289 306 442 578 663 867 1326 1367 1734 1989 2601 2734 3757 3978 4101 5202 7514 8202 11271 12303 17771 22542 23239 24606 33813 35542 46478 53313 67626 69717 106626 139434 159939 209151 302107 319878 395063 418302 604214 790126 906321 1185189 1812642 2370378 2718963 3555567 5135819 5437926 7111134 10271638 15407457 30814914 46222371 92444742