Search a number
-
+
69009472 = 267314969
BaseRepresentation
bin1000001110100…
…00000001000000
311210212001012101
410013100001000
5120131300342
610503040144
71465366540
oct407200100
9153761171
1069009472
1135a54924
121b140054
13113b2a0c
149245320
1560d23b7
hex41d0040

69009472 has 56 divisors (see below), whose sum is σ = 161584640. Its totient is φ = 28615680.

The previous prime is 69009467. The next prime is 69009491. The reversal of 69009472 is 27490096.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11404 + ... + 16372.

It is an arithmetic number, because the mean of its divisors is an integer number (2885440).

Almost surely, 269009472 is an apocalyptic number.

69009472 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69009472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80792320).

69009472 is an abundant number, since it is smaller than the sum of its proper divisors (92575168).

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

69009472 is a wasteful number, since it uses less digits than its factorization.

69009472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5019 (or 5009 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 69009472 is about 8307.1939907528. The cubic root of 69009472 is about 410.1753602431.

The spelling of 69009472 in words is "sixty-nine million, nine thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 248 434 448 496 868 992 1736 1984 3472 4969 6944 9938 13888 19876 34783 39752 69566 79504 139132 154039 159008 278264 308078 318016 556528 616156 1078273 1113056 1232312 2156546 2226112 2464624 4313092 4929248 8626184 9858496 17252368 34504736 69009472