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80041728 = 283138017
BaseRepresentation
bin1001100010101…
…01011100000000
312120121112121110
410301111130000
5130442313403
611535323320
71661225544
oct461253400
9176545543
1080041728
11411aa598
1222980540
1313776390
14a8b7a24
157061103
hex4c55700

80041728 has 72 divisors (see below), whose sum is σ = 229443088. Its totient is φ = 24625152.

The previous prime is 80041727. The next prime is 80041733. The reversal of 80041728 is 82714008.

It is a junction number, because it is equal to n+sod(n) for n = 80041695 and 80041704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80041723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5976 + ... + 13992.

Almost surely, 280041728 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 80041728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114721544).

80041728 is an abundant number, since it is smaller than the sum of its proper divisors (149401360).

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

80041728 is a wasteful number, since it uses less digits than its factorization.

80041728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8049 (or 8035 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 80041728 is about 8946.6042720129. The cubic root of 80041728 is about 430.9618418602.

The spelling of 80041728 in words is "eighty million, forty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3328 4992 8017 9984 16034 24051 32068 48102 64136 96204 104221 128272 192408 208442 256544 312663 384816 416884 513088 625326 769632 833768 1026176 1250652 1539264 1667536 2052352 2501304 3078528 3335072 5002608 6157056 6670144 10005216 13340288 20010432 26680576 40020864 80041728