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80125824 = 2733153127
BaseRepresentation
bin1001100011010…
…01111110000000
312120202210222010
410301221332000
5131003011244
611541212520
71662025662
oct461517600
9176683863
1080125824
1141257799
1222a01140
13137a573c
14a8da532
15707aeb9
hex4c69f80

80125824 has 128 divisors (see below), whose sum is σ = 225607680. Its totient is φ = 25159680.

The previous prime is 80125817. The next prime is 80125861. The reversal of 80125824 is 42852108.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 80125791 and 80125800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 630849 + ... + 630975.

It is an arithmetic number, because the mean of its divisors is an integer number (1762560).

Almost surely, 280125824 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 80125824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112803840).

80125824 is an abundant number, since it is smaller than the sum of its proper divisors (145481856).

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

80125824 is a wasteful number, since it uses less digits than its factorization.

80125824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 80125824 is about 8951.3029219215. The cubic root of 80125824 is about 431.1127193368.

The spelling of 80125824 in words is "eighty million, one hundred twenty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 53 62 64 93 96 106 124 127 128 159 186 192 212 248 254 318 372 381 384 424 496 508 636 744 762 848 992 1016 1272 1488 1524 1643 1696 1984 2032 2544 2976 3048 3286 3392 3937 3968 4064 4929 5088 5952 6096 6572 6731 6784 7874 8128 9858 10176 11811 11904 12192 13144 13462 15748 16256 19716 20193 20352 23622 24384 26288 26924 31496 39432 40386 47244 48768 52576 53848 62992 78864 80772 94488 105152 107696 125984 157728 161544 188976 208661 210304 215392 251968 315456 323088 377952 417322 430784 503936 625983 630912 646176 755904 834644 861568 1251966 1292352 1511808 1669288 2503932 2584704 3338576 5007864 6677152 10015728 13354304 20031456 26708608 40062912 80125824