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76674048 = 2103112269
BaseRepresentation
bin1001001000111…
…11010000000000
312100021110000120
410210133100000
5124112032143
611335220240
71620501333
oct444372000
9170243016
1076674048
113a30a390
1221817680
1312b67579
14a27c61a
156ae8383
hex491f400

76674048 has 88 divisors (see below), whose sum is σ = 223041120. Its totient is φ = 23224320.

The previous prime is 76674047. The next prime is 76674053. The reversal of 76674048 is 84047667.

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76674041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32658 + ... + 34926.

Almost surely, 276674048 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 76674048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111520560).

76674048 is an abundant number, since it is smaller than the sum of its proper divisors (146367072).

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

76674048 is a wasteful number, since it uses less digits than its factorization.

76674048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 76674048 is about 8756.3718514006. The cubic root of 76674048 is about 424.8309325222.

The spelling of 76674048 in words is "seventy-six million, six hundred seventy-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2112 2269 2816 3072 4224 4538 5632 6807 8448 9076 11264 13614 16896 18152 24959 27228 33792 36304 49918 54456 72608 74877 99836 108912 145216 149754 199672 217824 290432 299508 399344 435648 580864 599016 798688 871296 1161728 1198032 1597376 1742592 2323456 2396064 3194752 3485184 4792128 6389504 6970368 9584256 12779008 19168512 25558016 38337024 76674048