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69013944 = 2335131271
BaseRepresentation
bin1000001110100…
…01000110111000
311210212021100000
410013101012320
5120131421234
610503113000
71465415556
oct407210670
9153767300
1069013944
1135a5821a
121b142760
13113b4a6c
149246bd6
1560d3899
hex41d11b8

69013944 has 96 divisors (see below), whose sum is σ = 196035840. Its totient is φ = 22744800.

The previous prime is 69013943. The next prime is 69013949. The reversal of 69013944 is 44931096.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 69013899 and 69013908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69013943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254529 + ... + 254799.

It is an arithmetic number, because the mean of its divisors is an integer number (2042040).

Almost surely, 269013944 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 69013944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98017920).

69013944 is an abundant number, since it is smaller than the sum of its proper divisors (127021896).

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

69013944 is a wasteful number, since it uses less digits than its factorization.

69013944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 69013944 is about 8307.4631506857. The cubic root of 69013944 is about 410.1842202085.

The spelling of 69013944 in words is "sixty-nine million, thirteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 131 162 216 243 262 271 324 393 486 524 542 648 786 813 972 1048 1084 1179 1572 1626 1944 2168 2358 2439 3144 3252 3537 4716 4878 6504 7074 7317 9432 9756 10611 14148 14634 19512 21222 21951 28296 29268 31833 35501 42444 43902 58536 63666 65853 71002 84888 87804 106503 127332 131706 142004 175608 213006 254664 263412 284008 319509 426012 526824 639018 852024 958527 1278036 1917054 2556072 2875581 3834108 5751162 7668216 8626743 11502324 17253486 23004648 34506972 69013944