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79106742 = 232111373421
BaseRepresentation
bin1001011011100…
…01001010110110
312111212001001100
410231301022312
5130222403432
611503310530
71650252621
oct455611266
9174761040
1079106742
1140721080
12225ab446
1313509930
14a712db8
156e2907c
hex4b712b6

79106742 has 96 divisors (see below), whose sum is σ = 204605856. Its totient is φ = 21772800.

The previous prime is 79106737. The next prime is 79106759. The reversal of 79106742 is 24760197.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 79106697 and 79106706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187692 + ... + 188112.

It is an arithmetic number, because the mean of its divisors is an integer number (2131311).

Almost surely, 279106742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79106742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102302928).

79106742 is an abundant number, since it is smaller than the sum of its proper divisors (125499114).

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

79106742 is a wasteful number, since it uses less digits than its factorization.

79106742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 79106742 is about 8894.1970969841. The cubic root of 79106742 is about 429.2772101119.

The spelling of 79106742 in words is "seventy-nine million, one hundred six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 73 78 99 117 143 146 198 219 234 286 421 429 438 657 803 842 858 949 1263 1287 1314 1606 1898 2409 2526 2574 2847 3789 4631 4818 5473 5694 7227 7578 8541 9262 10439 10946 13893 14454 16419 17082 20878 27786 30733 31317 32838 41679 49257 60203 61466 62634 83358 92199 93951 98514 120406 180609 184398 187902 276597 338063 361218 399529 541827 553194 676126 799058 1014189 1083654 1198587 2028378 2397174 3042567 3595761 4394819 6085134 7191522 8789638 13184457 26368914 39553371 79106742