Search a number
-
+
69963424 = 252324133
BaseRepresentation
bin1000010101110…
…00111010100000
311212122111202221
410022320322200
5120402312144
610535320424
71506451666
oct412707240
9155574687
1069963424
1136546613
121b520114
1311657c9b
149412c36
15621ed84
hex42b8ea0

69963424 has 36 divisors (see below), whose sum is σ = 144024426. Its totient is φ = 33452672.

The previous prime is 69963391. The next prime is 69963431. The reversal of 69963424 is 42436996.

It can be written as a sum of positive squares in only one way, i.e., 52823824 + 17139600 = 7268^2 + 4140^2 .

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 5 ways as a sum of consecutive naturals, for example, 14862 + ... + 18994.

Almost surely, 269963424 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 69963424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72012213).

69963424 is an abundant number, since it is smaller than the sum of its proper divisors (74061002).

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

69963424 is a wasteful number, since it uses less digits than its factorization.

69963424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4189 (or 4158 counting only the distinct ones).

The product of its digits is 279936, while the sum is 43.

The square root of 69963424 is about 8364.4141456530. The cubic root of 69963424 is about 412.0567364602.

The spelling of 69963424 in words is "sixty-nine million, nine hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 529 736 1058 2116 4133 4232 8266 8464 16532 16928 33064 66128 95059 132256 190118 380236 760472 1520944 2186357 3041888 4372714 8745428 17490856 34981712 69963424