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76970448 = 24324113037
BaseRepresentation
bin1001001011001…
…11100111010000
312100211111121100
410211213213100
5124201023243
611345424400
71623144432
oct445474720
9170744540
1076970448
113a4a2045
122193b100
1312c3c459
14a318652
156b560d3
hex49679d0

76970448 has 60 divisors (see below), whose sum is σ = 220681188. Its totient is φ = 25029120.

The previous prime is 76970429. The next prime is 76970449. The reversal of 76970448 is 84407967.

It can be written as a sum of positive squares in 2 ways, for example, as 24088464 + 52881984 = 4908^2 + 7272^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76970449) 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 11 ways as a sum of consecutive naturals, for example, 615 + ... + 12422.

Almost surely, 276970448 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 76970448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110340594).

76970448 is an abundant number, since it is smaller than the sum of its proper divisors (143710740).

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

76970448 is a wasteful number, since it uses less digits than its factorization.

76970448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13092 (or 13083 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 76970448 is about 8773.2803443182. The cubic root of 76970448 is about 425.3776537074.

It can be divided in two parts, 769 and 70448, that added together give a palindrome (71217).

The spelling of 76970448 in words is "seventy-six million, nine hundred seventy thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 13037 26074 39111 52148 78222 104296 117333 156444 208592 234666 312888 469332 534517 625776 938664 1069034 1603551 1877328 2138068 3207102 4276136 4810653 6414204 8552272 9621306 12828408 19242612 25656816 38485224 76970448