Search a number
-
+
69656144 = 24232961107
BaseRepresentation
bin1000010011011…
…01111001010000
311212001220021012
410021231321100
5120312444034
610524550052
71504032065
oct411557120
9155056235
1069656144
1136356768
121b3b2328
131157b16c
149372c6c
1561adcce
hex426de50

69656144 has 80 divisors (see below), whose sum is σ = 149454720. Its totient is φ = 31342080.

The previous prime is 69656129. The next prime is 69656161. The reversal of 69656144 is 44165696.

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, 650939 + ... + 651045.

It is an arithmetic number, because the mean of its divisors is an integer number (1868184).

Almost surely, 269656144 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 69656144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74727360).

69656144 is an abundant number, since it is smaller than the sum of its proper divisors (79798576).

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

69656144 is a wasteful number, since it uses less digits than its factorization.

69656144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 222 counting only the distinct ones).

The product of its digits is 155520, while the sum is 41.

The square root of 69656144 is about 8346.0256409863. The cubic root of 69656144 is about 411.4525988136.

The spelling of 69656144 in words is "sixty-nine million, six hundred fifty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 29 46 58 61 92 107 116 122 184 214 232 244 368 428 464 488 667 856 976 1334 1403 1712 1769 2461 2668 2806 3103 3538 4922 5336 5612 6206 6527 7076 9844 10672 11224 12412 13054 14152 19688 22448 24824 26108 28304 39376 40687 49648 52216 71369 81374 104432 142738 150121 162748 189283 285476 300242 325496 378566 570952 600484 650992 757132 1141904 1200968 1514264 2401936 3028528 4353509 8707018 17414036 34828072 69656144