Search a number
-
+
269929842 = 237132172237
BaseRepresentation
bin10000000101101…
…100110101110010
3200210220212010120
4100011230311302
51023100223332
642441311110
76455236320
oct2005546562
9623825116
10269929842
11129406316
1276495496
1343bccc00
1427bc6d10
1518a6e32c
hex1016cd72

269929842 has 96 divisors (see below), whose sum is σ = 707709312. Its totient is φ = 66972672.

The previous prime is 269929813. The next prime is 269929843. The reversal of 269929842 is 248929962.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (269929843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119548 + ... + 121784.

It is an arithmetic number, because the mean of its divisors is an integer number (7371972).

Almost surely, 2269929842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 269929842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353854656).

269929842 is an abundant number, since it is smaller than the sum of its proper divisors (437779470).

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

269929842 is a wasteful number, since it uses less digits than its factorization.

269929842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 2279 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 51.

The square root of 269929842 is about 16429.5417465004. The cubic root of 269929842 is about 646.2744203715.

The spelling of 269929842 in words is "two hundred sixty-nine million, nine hundred twenty-nine thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 91 102 119 169 182 221 238 273 338 357 442 507 546 663 714 1014 1183 1326 1547 2237 2366 2873 3094 3549 4474 4641 5746 6711 7098 8619 9282 13422 15659 17238 20111 29081 31318 38029 40222 46977 58162 60333 76058 87243 93954 114087 120666 174486 203567 228174 266203 378053 407134 494377 532406 610701 756106 798609 988754 1134159 1221402 1483131 1597218 2268318 2646371 2966262 3460639 5292742 6426901 6921278 7939113 10381917 12853802 15878226 19280703 20763834 38561406 44988307 89976614 134964921 269929842