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76812648 = 233112979127
BaseRepresentation
bin1001001010000…
…01000101101000
312100112111010220
410211001011220
5124131001043
611342210040
71621616403
oct445010550
9170474126
1076812648
113a3a4530
1221883920
1312bb5693
14a2b6d3a
156b24483
hex4941168

76812648 has 128 divisors (see below), whose sum is σ = 221184000. Its totient is φ = 22014720.

The previous prime is 76812641. The next prime is 76812683. The reversal of 76812648 is 84621867.

It is not an unprimeable number, because it can be changed into a prime (76812641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 604761 + ... + 604887.

It is an arithmetic number, because the mean of its divisors is an integer number (1728000).

Almost surely, 276812648 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 76812648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110592000).

76812648 is an abundant number, since it is smaller than the sum of its proper divisors (144371352).

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

76812648 is a wasteful number, since it uses less digits than its factorization.

76812648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 251 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 76812648 is about 8764.2825148440. The cubic root of 76812648 is about 425.0867606033.

The spelling of 76812648 in words is "seventy-six million, eight hundred twelve thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 79 87 88 116 127 132 158 174 232 237 254 264 316 319 348 381 474 508 632 638 696 762 869 948 957 1016 1276 1397 1524 1738 1896 1914 2291 2552 2607 2794 3048 3476 3683 3828 4191 4582 5214 5588 6873 6952 7366 7656 8382 9164 10033 10428 11049 11176 13746 14732 16764 18328 20066 20856 22098 25201 27492 29464 30099 33528 40132 40513 44196 50402 54984 60198 75603 80264 81026 88392 100804 110363 120396 121539 151206 162052 201608 220726 240792 243078 290957 302412 324104 331089 441452 486156 581914 604824 662178 872871 882904 972312 1163828 1324356 1745742 2327656 2648712 3200527 3491484 6401054 6982968 9601581 12802108 19203162 25604216 38406324 76812648