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69483648 = 2731331449
BaseRepresentation
bin1000010010000…
…11110010000000
311211202010122110
410021003302000
5120241434043
610521135320
71502413143
oct411036200
9154663573
1069483648
1136249103
121b32a540
131151a7b0
14932a05a
156177b33
hex4243c80

69483648 has 128 divisors (see below), whose sum is σ = 205632000. Its totient is φ = 20643840.

The previous prime is 69483637. The next prime is 69483649. The reversal of 69483648 is 84638496.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 69483597 and 69483606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69483649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154528 + ... + 154976.

It is an arithmetic number, because the mean of its divisors is an integer number (1606500).

Almost surely, 269483648 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 69483648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102816000).

69483648 is an abundant number, since it is smaller than the sum of its proper divisors (136148352).

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

69483648 is a wasteful number, since it uses less digits than its factorization.

69483648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 498 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 69483648 is about 8335.6852147859. The cubic root of 69483648 is about 411.1126785970.

The spelling of 69483648 in words is "sixty-nine million, four hundred eighty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 128 156 186 192 208 248 312 372 384 403 416 449 496 624 744 806 832 898 992 1209 1248 1347 1488 1612 1664 1796 1984 2418 2496 2694 2976 3224 3592 3968 4836 4992 5388 5837 5952 6448 7184 9672 10776 11674 11904 12896 13919 14368 17511 19344 21552 23348 25792 27838 28736 35022 38688 41757 43104 46696 51584 55676 57472 70044 77376 83514 86208 93392 111352 140088 154752 167028 172416 180947 186784 222704 280176 334056 361894 373568 445408 542841 560352 668112 723788 747136 890816 1085682 1120704 1336224 1447576 1781632 2171364 2241408 2672448 2895152 4342728 5344896 5790304 8685456 11580608 17370912 23161216 34741824 69483648