Search a number
-
+
80022672 = 24321797337
BaseRepresentation
bin1001100010100…
…00110010010000
312120120120110200
410301100302100
5130441211142
611535055200
71661116152
oct461206220
9176516420
1080022672
1141197244
1222971500
131376a7c2
14a8b0ad2
15705a64c
hex4c50c90

80022672 has 120 divisors (see below), whose sum is σ = 240281496. Its totient is φ = 24772608.

The previous prime is 80022647. The next prime is 80022763. The reversal of 80022672 is 27622008.

It can be written as a sum of positive squares in 4 ways, for example, as 11861136 + 68161536 = 3444^2 + 8256^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237288 + ... + 237624.

Almost surely, 280022672 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 80022672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120140748).

80022672 is an abundant number, since it is smaller than the sum of its proper divisors (160258824).

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

80022672 is a wasteful number, since it uses less digits than its factorization.

80022672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 80022672 is about 8945.5392235460. The cubic root of 80022672 is about 430.9276386145.

The spelling of 80022672 in words is "eighty million, twenty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 97 102 136 144 153 194 204 272 291 306 337 388 408 582 612 674 776 816 873 1011 1164 1224 1348 1552 1649 1746 2022 2328 2448 2696 3033 3298 3492 4044 4656 4947 5392 5729 6066 6596 6984 8088 9894 11458 12132 13192 13968 14841 16176 17187 19788 22916 24264 26384 29682 32689 34374 39576 45832 48528 51561 59364 65378 68748 79152 91664 98067 103122 118728 130756 137496 196134 206244 237456 261512 274992 294201 392268 412488 523024 555713 588402 784536 824976 1111426 1176804 1569072 1667139 2222852 2353608 3334278 4445704 4707216 5001417 6668556 8891408 10002834 13337112 20005668 26674224 40011336 80022672