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80126496 = 2534191627
BaseRepresentation
bin1001100011010…
…10001000100000
312120202211220000
410301222020200
5131003021441
611541220000
71662030642
oct461521040
9176684800
1080126496
114125824a
1222a01600
13137a5b38
14a8da892
15707b2b6
hex4c6a220

80126496 has 120 divisors (see below), whose sum is σ = 248204880. Its totient is φ = 25287552.

The previous prime is 80126483. The next prime is 80126509. The reversal of 80126496 is 69462108.

80126496 is a `hidden beast` number, since 8 + 0 + 1 + 2 + 649 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (80126483) and next prime (80126509).

It is a super-2 number, since 2×801264962 = 12840510722476032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 80126496.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48435 + ... + 50061.

It is an arithmetic number, because the mean of its divisors is an integer number (2068374).

Almost surely, 280126496 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 80126496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124102440).

80126496 is an abundant number, since it is smaller than the sum of its proper divisors (168078384).

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

80126496 is a wasteful number, since it uses less digits than its factorization.

80126496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 80126496 is about 8951.3404582777. The cubic root of 80126496 is about 431.1139245535.

The spelling of 80126496 in words is "eighty million, one hundred twenty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 81 96 108 114 144 152 162 171 216 228 288 304 324 342 432 456 513 608 648 684 864 912 1026 1296 1368 1539 1627 1824 2052 2592 2736 3078 3254 4104 4881 5472 6156 6508 8208 9762 12312 13016 14643 16416 19524 24624 26032 29286 30913 39048 43929 49248 52064 58572 61826 78096 87858 92739 117144 123652 131787 156192 175716 185478 234288 247304 263574 278217 351432 370956 468576 494608 527148 556434 702864 741912 834651 989216 1054296 1112868 1405728 1483824 1669302 2108592 2225736 2503953 2967648 3338604 4217184 4451472 5007906 6677208 8902944 10015812 13354416 20031624 26708832 40063248 80126496