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80525424 = 243736773
BaseRepresentation
bin1001100110010…
…11100001110000
312121112010010010
410303023201300
5131103303144
611553534520
71665312000
oct463134160
9177463103
1080525424
11414aaa41
1222b74440
13138b55a5
14a9a2000
1571095b9
hex4ccb870

80525424 has 160 divisors (see below), whose sum is σ = 249587200. Its totient is φ = 22353408.

The previous prime is 80525387. The next prime is 80525441. The reversal of 80525424 is 42452508.

It is a junction number, because it is equal to n+sod(n) for n = 80525391 and 80525400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1103052 + ... + 1103124.

It is an arithmetic number, because the mean of its divisors is an integer number (1559920).

Almost surely, 280525424 is an apocalyptic number.

80525424 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80525424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124793600).

80525424 is an abundant number, since it is smaller than the sum of its proper divisors (169061776).

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

80525424 is a wasteful number, since it uses less digits than its factorization.

80525424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 80525424 is about 8973.5959347410. The cubic root of 80525424 is about 431.8282067264.

The spelling of 80525424 in words is "eighty million, five hundred twenty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 67 73 84 98 112 134 146 147 168 196 201 219 268 292 294 336 343 392 402 438 469 511 536 584 588 686 784 804 876 938 1022 1029 1072 1168 1176 1372 1407 1533 1608 1752 1876 2044 2058 2352 2744 2814 3066 3216 3283 3504 3577 3752 4088 4116 4891 5488 5628 6132 6566 7154 7504 8176 8232 9782 9849 10731 11256 12264 13132 14308 14673 16464 19564 19698 21462 22512 22981 24528 25039 26264 28616 29346 34237 39128 39396 42924 45962 50078 52528 57232 58692 68474 68943 75117 78256 78792 85848 91924 100156 102711 117384 136948 137886 150234 157584 171696 183848 200312 205422 234768 239659 273896 275772 300468 367696 400624 410844 479318 547792 551544 600936 718977 821688 958636 1103088 1201872 1437954 1643376 1677613 1917272 2875908 3355226 3834544 5032839 5751816 6710452 10065678 11503632 13420904 20131356 26841808 40262712 80525424