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76426480 = 24513431709
BaseRepresentation
bin1001000111000…
…10110011110000
312022210212102101
410203202303300
5124031121410
611330030144
71615420504
oct443426360
9168725371
1076426480
113a160389
1221718354
1312aab990
14a216304
156a99d3a
hex48e2cf0

76426480 has 80 divisors (see below), whose sum is σ = 195924960. Its totient is φ = 27546624.

The previous prime is 76426457. The next prime is 76426489. The reversal of 76426480 is 8462467.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76426489) 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, 43866 + ... + 45574.

It is an arithmetic number, because the mean of its divisors is an integer number (2449062).

Almost surely, 276426480 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 76426480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97962480).

76426480 is an abundant number, since it is smaller than the sum of its proper divisors (119498480).

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

76426480 is a wasteful number, since it uses less digits than its factorization.

76426480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 76426480 is about 8742.2239733377. The cubic root of 76426480 is about 424.3732029179.

The spelling of 76426480 in words is "seventy-six million, four hundred twenty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 43 52 65 80 86 104 130 172 208 215 260 344 430 520 559 688 860 1040 1118 1709 1720 2236 2795 3418 3440 4472 5590 6836 8545 8944 11180 13672 17090 22217 22360 27344 34180 44434 44720 68360 73487 88868 111085 136720 146974 177736 222170 293948 355472 367435 444340 587896 734870 888680 955331 1175792 1469740 1777360 1910662 2939480 3821324 4776655 5878960 7642648 9553310 15285296 19106620 38213240 76426480