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69889344 = 2637149349
BaseRepresentation
bin1000010101001…
…10110101000000
311212111202011020
410022212311000
5120342424334
610533545440
71506023010
oct412466500
9155452136
1069889344
11364a5998
121b4a5280
1311630355
1493d3c40
156207e49
hex42a6d40

69889344 has 112 divisors (see below), whose sum is σ = 213360000. Its totient is φ = 19777536.

The previous prime is 69889327. The next prime is 69889361. The reversal of 69889344 is 44398896.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (69889327) and next prime (69889361).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200082 + ... + 200430.

It is an arithmetic number, because the mean of its divisors is an integer number (1905000).

Almost surely, 269889344 is an apocalyptic number.

69889344 is a gapful number since it is divisible by the number (64) 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 69889344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106680000).

69889344 is an abundant number, since it is smaller than the sum of its proper divisors (143470656).

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

69889344 is a wasteful number, since it uses less digits than its factorization.

69889344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 510 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The square root of 69889344 is about 8359.9846889812. The cubic root of 69889344 is about 411.9112511891.

The spelling of 69889344 in words is "sixty-nine million, eight hundred eighty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 149 168 192 224 298 336 349 447 448 596 672 698 894 1043 1047 1192 1344 1396 1788 2086 2094 2384 2443 2792 3129 3576 4172 4188 4768 4886 5584 6258 7152 7329 8344 8376 9536 9772 11168 12516 14304 14658 16688 16752 19544 22336 25032 28608 29316 33376 33504 39088 50064 52001 58632 66752 67008 78176 100128 104002 117264 156003 156352 200256 208004 234528 312006 364007 416008 469056 624012 728014 832016 1092021 1248024 1456028 1664032 2184042 2496048 2912056 3328064 4368084 4992096 5824112 8736168 9984192 11648224 17472336 23296448 34944672 69889344