Search a number
-
+
69994272 = 2531275741
BaseRepresentation
bin1000010110000…
…00011100100000
311212201002002110
410023000130200
5120404304042
610540115320
71506640635
oct413003440
9155632073
1069994272
1136567807
121b535b40
131166903a
14942018c
15622909c
hex42c0720

69994272 has 48 divisors (see below), whose sum is σ = 185213952. Its totient is φ = 23143680.

The previous prime is 69994213. The next prime is 69994273. The reversal of 69994272 is 27249996.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×699942722 = 9798396225619968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (69994273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9322 + ... + 15062.

It is an arithmetic number, because the mean of its divisors is an integer number (3858624).

Almost surely, 269994272 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 69994272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92606976).

69994272 is an abundant number, since it is smaller than the sum of its proper divisors (115219680).

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

69994272 is a wasteful number, since it uses less digits than its factorization.

69994272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5881 (or 5873 counting only the distinct ones).

The product of its digits is 489888, while the sum is 48.

The square root of 69994272 is about 8366.2579448640. The cubic root of 69994272 is about 412.1172883779.

The spelling of 69994272 in words is "sixty-nine million, nine hundred ninety-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1524 2032 3048 4064 5741 6096 11482 12192 17223 22964 34446 45928 68892 91856 137784 183712 275568 551136 729107 1458214 2187321 2916428 4374642 5832856 8749284 11665712 17498568 23331424 34997136 69994272