Search a number
-
+
79663104 = 212322161
BaseRepresentation
bin1001011111110…
…01000000000000
312112220022020100
410233321000000
5130343204404
611523242400
71655060643
oct457710000
9175808210
1079663104
1140a71084
1222819400
1313672c41
14a819a5a
156ed8d39
hex4bf9000

79663104 has 78 divisors (see below), whose sum is σ = 230216246. Its totient is φ = 26542080.

The previous prime is 79663069. The next prime is 79663117. The reversal of 79663104 is 40136697.

It can be written as a sum of positive squares in only one way, i.e., 71368704 + 8294400 = 8448^2 + 2880^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35784 + ... + 37944.

Almost surely, 279663104 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 79663104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115108123).

79663104 is an abundant number, since it is smaller than the sum of its proper divisors (150553142).

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

79663104 is a wasteful number, since it uses less digits than its factorization.

79663104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 79663104 is about 8925.4189817621. The cubic root of 79663104 is about 430.2812366080.

The spelling of 79663104 in words is "seventy-nine million, six hundred sixty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2161 2304 3072 4096 4322 4608 6144 6483 8644 9216 12288 12966 17288 18432 19449 25932 34576 36864 38898 51864 69152 77796 103728 138304 155592 207456 276608 311184 414912 553216 622368 829824 1106432 1244736 1659648 2212864 2489472 3319296 4425728 4978944 6638592 8851456 9957888 13277184 19915776 26554368 39831552 79663104