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69888896 = 2772111013
BaseRepresentation
bin1000010101001…
…10101110000000
311212111201112122
410022212232000
5120342421041
610533543412
71506021500
oct412465600
9155451478
1069888896
11364a5620
121b4a4b68
131163009c
1493d3a00
156207c4b
hex42a6b80

69888896 has 96 divisors (see below), whose sum is σ = 176861880. Its totient is φ = 27202560.

The previous prime is 69888829. The next prime is 69888919.

It is a happy number.

69888896 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68486 + ... + 69498.

Almost surely, 269888896 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 69888896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88430940).

69888896 is an abundant number, since it is smaller than the sum of its proper divisors (106972984).

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

69888896 is a wasteful number, since it uses less digits than its factorization.

69888896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1033 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 62.

The square root of 69888896 is about 8359.9578946308. The cubic root of 69888896 is about 411.9103710519.

The spelling of 69888896 in words is "sixty-nine million, eight hundred eighty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 128 154 176 196 224 308 352 392 448 539 616 704 784 896 1013 1078 1232 1408 1568 2026 2156 2464 3136 4052 4312 4928 6272 7091 8104 8624 9856 11143 14182 16208 17248 22286 28364 32416 34496 44572 49637 56728 64832 68992 78001 89144 99274 113456 129664 156002 178288 198548 226912 312004 356576 397096 453824 546007 624008 713152 794192 907648 1092014 1248016 1426304 1588384 2184028 2496032 3176768 4368056 4992064 6353536 8736112 9984128 17472224 34944448 69888896