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76855296 = 211371787
BaseRepresentation
bin1001001010010…
…11100000000000
312100121122122110
410211023200000
5124133332141
611343135320
71622154630
oct445134000
9170548573
1076855296
113a423581
12218a4540
1312bcbc0b
14a2c86c0
156b31e16
hex494b800

76855296 has 96 divisors (see below), whose sum is σ = 234299520. Its totient is φ = 21946368.

The previous prime is 76855271. The next prime is 76855309. The reversal of 76855296 is 69255867.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42115 + ... + 43901.

It is an arithmetic number, because the mean of its divisors is an integer number (2440620).

Almost surely, 276855296 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 76855296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117149760).

76855296 is an abundant number, since it is smaller than the sum of its proper divisors (157444224).

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

76855296 is a wasteful number, since it uses less digits than its factorization.

76855296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819 (or 1799 counting only the distinct ones).

The product of its digits is 907200, while the sum is 48.

The square root of 76855296 is about 8766.7152343395. The cubic root of 76855296 is about 425.1654184218.

The spelling of 76855296 in words is "seventy-six million, eight hundred fifty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1787 1792 2048 2688 3072 3574 3584 5361 5376 6144 7148 7168 10722 10752 12509 14296 14336 21444 21504 25018 28592 37527 42888 43008 50036 57184 75054 85776 100072 114368 150108 171552 200144 228736 300216 343104 400288 457472 600432 686208 800576 914944 1200864 1372416 1601152 1829888 2401728 2744832 3202304 3659776 4803456 5489664 6404608 9606912 10979328 12809216 19213824 25618432 38427648 76855296