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79878420 = 22335532791
BaseRepresentation
bin1001100001011…
…01100100010100
312120022020121000
410300231210110
5130422102140
611532023300
71656645456
oct460554424
9176266530
1079878420
11410a8926
1222901b30
1313719c4b
14a8742d6
15702ca30
hex4c2d914

79878420 has 96 divisors (see below), whose sum is σ = 253290240. Its totient is φ = 20891520.

The previous prime is 79878397. The next prime is 79878437. The reversal of 79878420 is 2487897.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 27225 + ... + 30015.

It is an arithmetic number, because the mean of its divisors is an integer number (2638440).

Almost surely, 279878420 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 79878420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126645120).

79878420 is an abundant number, since it is smaller than the sum of its proper divisors (173411820).

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

79878420 is a wasteful number, since it uses less digits than its factorization.

79878420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 79878420 is about 8937.4727971614. The cubic root of 79878420 is about 430.6685471945.

The spelling of 79878420 in words is "seventy-nine million, eight hundred seventy-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 53 54 60 90 106 108 135 159 180 212 265 270 318 477 530 540 636 795 954 1060 1431 1590 1908 2385 2791 2862 3180 4770 5582 5724 7155 8373 9540 11164 13955 14310 16746 25119 27910 28620 33492 41865 50238 55820 75357 83730 100476 125595 147923 150714 167460 251190 295846 301428 376785 443769 502380 591692 739615 753570 887538 1331307 1479230 1507140 1775076 2218845 2662614 2958460 3993921 4437690 5325228 6656535 7987842 8875380 13313070 15975684 19969605 26626140 39939210 79878420