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69917328 = 243213417
BaseRepresentation
bin1000010101011…
…01101010010000
311212120011112200
410022231222100
5120344323303
610534323200
71506200415
oct412555220
9155504480
1069917328
1136514a18
121b4b9500
1311640000
14940010c
1562113a3
hex42ada90

69917328 has 150 divisors (see below), whose sum is σ = 224446014. Its totient is φ = 20247552.

The previous prime is 69917317. The next prime is 69917329. The reversal of 69917328 is 82371996.

It can be written as a sum of positive squares in 5 ways, for example, as 51151104 + 18766224 = 7152^2 + 4332^2 .

It is not an unprimeable number, because it can be changed into a prime (69917329) 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 29 ways as a sum of consecutive naturals, for example, 4112776 + ... + 4112792.

Almost surely, 269917328 is an apocalyptic number.

69917328 is a gapful number since it is divisible by the number (68) 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 69917328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112223007).

69917328 is an abundant number, since it is smaller than the sum of its proper divisors (154528686).

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

69917328 is a wasteful number, since it uses less digits than its factorization.

69917328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 35 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 69917328 is about 8361.6582087526. The cubic root of 69917328 is about 411.9662208772.

The spelling of 69917328 in words is "sixty-nine million, nine hundred seventeen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 34 36 39 48 51 52 68 72 78 102 104 117 136 144 153 156 169 204 208 221 234 272 306 312 338 408 442 468 507 612 624 663 676 816 884 936 1014 1224 1326 1352 1521 1768 1872 1989 2028 2197 2448 2652 2704 2873 3042 3536 3978 4056 4394 5304 5746 6084 6591 7956 8112 8619 8788 10608 11492 12168 13182 15912 17238 17576 19773 22984 24336 25857 26364 28561 31824 34476 35152 37349 39546 45968 51714 52728 57122 68952 74698 79092 85683 103428 105456 112047 114244 137904 149396 158184 171366 206856 224094 228488 257049 298792 316368 336141 342732 413712 448188 456976 485537 514098 597584 672282 685464 896376 971074 1028196 1344564 1370928 1456611 1792752 1942148 2056392 2689128 2913222 3884296 4112784 4369833 5378256 5826444 7768592 8739666 11652888 17479332 23305776 34958664 69917328