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79880416 = 25711171907
BaseRepresentation
bin1001100001011…
…10000011100000
312120022100022221
410300232003200
5130422133131
611532040424
71656654340
oct460560340
9176270287
1079880416
11410aa380
1222903114
131371ab25
14a874d20
15702d411
hex4c2e0e0

79880416 has 96 divisors (see below), whose sum is σ = 207712512. Its totient is φ = 29276160.

The previous prime is 79880407. The next prime is 79880443. The reversal of 79880416 is 61408897.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40935 + ... + 42841.

It is an arithmetic number, because the mean of its divisors is an integer number (2163672).

Almost surely, 279880416 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 79880416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103856256).

79880416 is an abundant number, since it is smaller than the sum of its proper divisors (127832096).

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

79880416 is a wasteful number, since it uses less digits than its factorization.

79880416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The square root of 79880416 is about 8937.5844611394. The cubic root of 79880416 is about 430.6721343430.

The spelling of 79880416 in words is "seventy-nine million, eight hundred eighty thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 68 77 88 112 119 136 154 176 187 224 238 272 308 352 374 476 544 616 748 952 1232 1309 1496 1904 1907 2464 2618 2992 3808 3814 5236 5984 7628 10472 13349 15256 20944 20977 26698 30512 32419 41888 41954 53396 61024 64838 83908 106792 129676 146839 167816 213584 226933 259352 293678 335632 356609 427168 453866 518704 587356 671264 713218 907732 1037408 1174712 1426436 1815464 2349424 2496263 2852872 3630928 4698848 4992526 5705744 7261856 9985052 11411488 19970104 39940208 79880416