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269993024 = 2675383137
BaseRepresentation
bin10000000101111…
…100010001000000
3200211001001210122
4100011330101000
51023104234044
642442515412
76455621450
oct2005742100
9624031718
10269993024
11129449834
1276505b68
1343c228b2
1427c01d60
1518a82dee
hex1017c440

269993024 has 112 divisors (see below), whose sum is σ = 635983488. Its totient is φ = 111341568.

The previous prime is 269993011. The next prime is 269993029. The reversal of 269993024 is 420399962.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (269993029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1970684 + ... + 1970820.

It is an arithmetic number, because the mean of its divisors is an integer number (5678424).

Almost surely, 2269993024 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 269993024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317991744).

269993024 is an abundant number, since it is smaller than the sum of its proper divisors (365990464).

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

269993024 is a wasteful number, since it uses less digits than its factorization.

269993024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 44.

The square root of 269993024 is about 16431.4644508638. The cubic root of 269993024 is about 646.3248405407.

The spelling of 269993024 in words is "two hundred sixty-nine million, nine hundred ninety-three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 83 106 112 137 166 212 224 274 332 371 424 448 548 581 664 742 848 959 1096 1162 1328 1484 1696 1918 2192 2324 2656 2968 3392 3836 4384 4399 4648 5312 5936 7261 7672 8768 8798 9296 11371 11872 14522 15344 17596 18592 22742 23744 29044 30688 30793 35192 37184 45484 50827 58088 61376 61586 70384 79597 90968 101654 116176 123172 140768 159194 181936 203308 232352 246344 281536 318388 363872 406616 464704 492688 602663 636776 727744 813232 985376 1205326 1273552 1626464 1970752 2410652 2547104 3252928 4218641 4821304 5094208 8437282 9642608 16874564 19285216 33749128 38570432 67498256 134996512 269993024