Search a number
-
+
69074944 = 2171731
BaseRepresentation
bin1000001111000…
…00000000000000
311210222101000021
410013200000000
5120140344234
610504303224
71466061451
oct407400000
9153871007
1069074944
1135a9a034
121b171b14
1311406763
149261128
1560e69b4
hex41e0000

69074944 has 72 divisors (see below), whose sum is σ = 150994368. Its totient is φ = 31457280.

The previous prime is 69074933. The next prime is 69074969. The reversal of 69074944 is 44947096.

It is a self number, because there is not a number n which added to its sum of digits gives 69074944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2228209 + ... + 2228239.

It is an arithmetic number, because the mean of its divisors is an integer number (2097144).

Almost surely, 269074944 is an apocalyptic number.

69074944 is a gapful number since it is divisible by the number (64) 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 69074944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75497184).

69074944 is an abundant number, since it is smaller than the sum of its proper divisors (81919424).

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

69074944 is an frugal number, since it uses more digits than its factorization.

69074944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 69074944 is about 8311.1337373429. The cubic root of 69074944 is about 410.3050357407.

The spelling of 69074944 in words is "sixty-nine million, seventy-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 128 136 248 256 272 496 512 527 544 992 1024 1054 1088 1984 2048 2108 2176 3968 4096 4216 4352 7936 8192 8432 8704 15872 16384 16864 17408 31744 32768 33728 34816 63488 65536 67456 69632 126976 131072 134912 139264 253952 269824 278528 507904 539648 557056 1015808 1079296 1114112 2031616 2158592 2228224 4063232 4317184 8634368 17268736 34537472 69074944