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76907964 = 223741137163
BaseRepresentation
bin1001001010110…
…00010110111100
312100201022220010
410211120112330
5124142023324
611344223220
71622464320
oct445302674
9170638803
1076907964
113a45a101
122190ab10
1312c19b93
14a2dd980
156b42829
hex49585bc

76907964 has 96 divisors (see below), whose sum is σ = 212921856. Its totient is φ = 21150720.

The previous prime is 76907959. The next prime is 76907969. The reversal of 76907964 is 46970967.

It is an interprime number because it is at equal distance from previous prime (76907959) and next prime (76907969).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76907969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 471747 + ... + 471909.

It is an arithmetic number, because the mean of its divisors is an integer number (2217936).

Almost surely, 276907964 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 76907964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106460928).

76907964 is an abundant number, since it is smaller than the sum of its proper divisors (136013892).

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

76907964 is a wasteful number, since it uses less digits than its factorization.

76907964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The square root of 76907964 is about 8769.7185815738. The cubic root of 76907964 is about 425.2625164760.

The spelling of 76907964 in words is "seventy-six million, nine hundred seven thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 137 163 164 246 274 287 326 411 489 492 548 574 652 822 861 959 978 1141 1148 1644 1722 1918 1956 2282 2877 3423 3444 3836 4564 5617 5754 6683 6846 11234 11508 13366 13692 16851 20049 22331 22468 26732 33702 39319 40098 44662 46781 66993 67404 78638 80196 89324 93562 117957 133986 140343 156317 157276 187124 235914 267972 280686 312634 468951 471828 561372 625268 915571 937902 1831142 1875804 2746713 3662284 5493426 6408997 10986852 12817994 19226991 25635988 38453982 76907964