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76826064 = 2437373613
BaseRepresentation
bin1001001010001…
…00010111010000
312100120011112210
410211010113100
5124131413224
611342352120
71622003460
oct445042720
9170504483
1076826064
113a403617
122188b640
1312bbb813
14a2bbba0
156b28429
hex49445d0

76826064 has 80 divisors (see below), whose sum is σ = 227798912. Its totient is φ = 21855744.

The previous prime is 76826051. The next prime is 76826069. The reversal of 76826064 is 46062867.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76826069) 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, 125022 + ... + 125634.

Almost surely, 276826064 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 76826064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113899456).

76826064 is an abundant number, since it is smaller than the sum of its proper divisors (150972848).

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

76826064 is a wasteful number, since it uses less digits than its factorization.

76826064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 76826064 is about 8765.0478606794. The cubic root of 76826064 is about 425.1115075347. Note that the first 3 decimals are identical.

The spelling of 76826064 in words is "seventy-six million, eight hundred twenty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 373 613 746 1119 1226 1492 1839 2238 2452 2611 2984 3678 4291 4476 4904 5222 5968 7356 7833 8582 8952 9808 10444 12873 14712 15666 17164 17904 20888 25746 29424 31332 34328 41776 51492 62664 68656 102984 125328 205968 228649 457298 685947 914596 1371894 1600543 1829192 2743788 3201086 3658384 4801629 5487576 6402172 9603258 10975152 12804344 19206516 25608688 38413032 76826064