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76826048 = 261327103
BaseRepresentation
bin1001001010001…
…00010111000000
312100120011112012
410211010113000
5124131413143
611342352052
71622003435
oct445042700
9170504465
1076826048
113a403602
122188b628
1312bbb800
14a2bbb8c
156b28418
hex49445c0

76826048 has 42 divisors (see below), whose sum is σ = 165104064. Its totient is φ = 35453184.

The previous prime is 76826041. The next prime is 76826051. The reversal of 76826048 is 84062867.

It is a junction number, because it is equal to n+sod(n) for n = 76825996 and 76826014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76826041) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7265 + ... + 14367.

Almost surely, 276826048 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 76826048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82552032).

76826048 is an abundant number, since it is smaller than the sum of its proper divisors (88278016).

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

76826048 is a wasteful number, since it uses less digits than its factorization.

76826048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7141 (or 7118 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 76826048 is about 8765.0469479633. The cubic root of 76826048 is about 425.1114780231. Note that the first 3 decimals are identical.

The spelling of 76826048 in words is "seventy-six million, eight hundred twenty-six thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 5408 7103 10816 14206 28412 56824 92339 113648 184678 227296 369356 454592 738712 1200407 1477424 2400814 2954848 4801628 5909696 9603256 19206512 38413024 76826048