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69989472 = 25327149233
BaseRepresentation
bin1000010101111…
…11010001100000
311212200211111200
410022333101200
5120404130342
610540041200
71506620640
oct412772140
9155624450
1069989472
1136564143
121b533200
1311666ab7
14941c520
15622794c
hex42bf460

69989472 has 144 divisors (see below), whose sum is σ = 229975200. Its totient is φ = 19777536.

The previous prime is 69989471. The next prime is 69989489. The reversal of 69989472 is 27498996.

69989472 is a `hidden beast` number, since 6 + 99 + 89 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69989471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300268 + ... + 300500.

It is an arithmetic number, because the mean of its divisors is an integer number (1597050).

Almost surely, 269989472 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 69989472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114987600).

69989472 is an abundant number, since it is smaller than the sum of its proper divisors (159985728).

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

69989472 is a wasteful number, since it uses less digits than its factorization.

69989472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 394 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 69989472 is about 8365.9710733423. The cubic root of 69989472 is about 412.1078675680.

The spelling of 69989472 in words is "sixty-nine million, nine hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 149 168 224 233 252 288 298 336 447 466 504 596 672 699 894 932 1008 1043 1192 1341 1398 1631 1788 1864 2016 2086 2097 2384 2682 2796 3129 3262 3576 3728 4172 4194 4768 4893 5364 5592 6258 6524 7152 7456 8344 8388 9387 9786 10728 11184 12516 13048 14304 14679 16688 16776 18774 19572 21456 22368 25032 26096 29358 33376 33552 34717 37548 39144 42912 50064 52192 58716 67104 69434 75096 78288 100128 104151 117432 138868 150192 156576 208302 234864 243019 277736 300384 312453 416604 469728 486038 555472 624906 729057 833208 972076 1110944 1249812 1458114 1666416 1944152 2187171 2499624 2916228 3332832 3888304 4374342 4999248 5832456 7776608 8748684 9998496 11664912 17497368 23329824 34994736 69989472