Search a number
-
+
69379296 = 2537543
BaseRepresentation
bin1000010001010…
…10010011100000
311211112211111120
410020222103200
5120230114141
610515012240
71501500000
oct410522340
9154484446
1069379296
1136187768
121b29a080
13114b214c
149300000
156156c66
hex422a4e0

69379296 has 144 divisors (see below), whose sum is σ = 217413504. Its totient is φ = 19361664.

The previous prime is 69379259. The next prime is 69379319. The reversal of 69379296 is 69297396.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1613451 + ... + 1613493.

It is an arithmetic number, because the mean of its divisors is an integer number (1509816).

Almost surely, 269379296 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 69379296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108706752).

69379296 is an abundant number, since it is smaller than the sum of its proper divisors (148034208).

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

69379296 is an frugal number, since it uses more digits than its factorization.

69379296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 55 counting only the distinct ones).

The product of its digits is 1102248, while the sum is 51.

The square root of 69379296 is about 8329.4235094633. The cubic root of 69379296 is about 410.9067696017.

The spelling of 69379296 in words is "sixty-nine million, three hundred seventy-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 49 56 84 86 96 98 112 129 147 168 172 196 224 258 294 301 336 343 344 392 516 588 602 672 686 688 784 903 1029 1032 1176 1204 1372 1376 1568 1806 2058 2064 2107 2352 2401 2408 2744 3612 4116 4128 4214 4704 4802 4816 5488 6321 7203 7224 8232 8428 9604 9632 10976 12642 14406 14448 14749 16464 16807 16856 19208 25284 28812 28896 29498 32928 33614 33712 38416 44247 50421 50568 57624 58996 67228 67424 76832 88494 100842 101136 103243 115248 117992 134456 176988 201684 202272 206486 230496 235984 268912 309729 353976 403368 412972 471968 537824 619458 707952 722701 806736 825944 1238916 1415904 1445402 1613472 1651888 2168103 2477832 2890804 3303776 4336206 4955664 5781608 8672412 9911328 11563216 17344824 23126432 34689648 69379296