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79414104 = 2337311877
BaseRepresentation
bin1001011101111…
…00001101011000
312112102122200010
410232330031120
5130312222404
611514041520
71653003000
oct456741530
9175378603
1079414104
1140910aa0
12227192a0
13135b67c3
14a793000
156e8a189
hex4bbc358

79414104 has 128 divisors (see below), whose sum is σ = 252864000. Its totient is φ = 20603520.

The previous prime is 79414081. The next prime is 79414121. The reversal of 79414104 is 40141497.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90114 + ... + 90990.

It is an arithmetic number, because the mean of its divisors is an integer number (1975500).

Almost surely, 279414104 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 79414104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126432000).

79414104 is an abundant number, since it is smaller than the sum of its proper divisors (173449896).

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

79414104 is a wasteful number, since it uses less digits than its factorization.

79414104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 79414104 is about 8911.4591397818. The cubic root of 79414104 is about 429.8324640285.

The spelling of 79414104 in words is "seventy-nine million, four hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 264 294 308 343 392 462 539 588 616 686 877 924 1029 1078 1176 1372 1617 1754 1848 2058 2156 2631 2744 3234 3508 3773 4116 4312 5262 6139 6468 7016 7546 8232 9647 10524 11319 12278 12936 15092 18417 19294 21048 22638 24556 28941 30184 36834 38588 42973 45276 49112 57882 67529 73668 77176 85946 90552 115764 128919 135058 147336 171892 202587 231528 257838 270116 300811 343784 405174 472703 515676 540232 601622 810348 902433 945406 1031352 1203244 1418109 1620696 1804866 1890812 2406488 2836218 3308921 3609732 3781624 5672436 6617842 7219464 9926763 11344872 13235684 19853526 26471368 39707052 79414104