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80412332 = 2272111319151
BaseRepresentation
bin1001100101011…
…11111010101100
312121022100222112
410302233322230
5131041143312
611551303152
71664331200
oct462577254
9177270875
1080412332
1141432a80
1222b1aab8
1313875c80
14a972b00
1570d5d22
hex4cafeac

80412332 has 144 divisors (see below), whose sum is σ = 203777280. Its totient is φ = 27216000.

The previous prime is 80412281. The next prime is 80412373. The reversal of 80412332 is 23321408.

It is a super-2 number, since 2×804123322 = 12932286275356448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 80412298 and 80412307.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 532457 + ... + 532607.

It is an arithmetic number, because the mean of its divisors is an integer number (1415120).

Almost surely, 280412332 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 80412332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101888640).

80412332 is an abundant number, since it is smaller than the sum of its proper divisors (123364948).

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

80412332 is a wasteful number, since it uses less digits than its factorization.

80412332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 80412332 is about 8967.2923449612. The cubic root of 80412332 is about 431.6259550924.

The spelling of 80412332 in words is "eighty million, four hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 19 22 26 28 38 44 49 52 76 77 91 98 133 143 151 154 182 196 209 247 266 286 302 308 364 418 494 532 539 572 604 637 836 931 988 1001 1057 1078 1274 1463 1661 1729 1862 1963 2002 2114 2156 2548 2717 2869 2926 3322 3458 3724 3926 4004 4228 5434 5738 5852 6644 6916 7007 7399 7852 10241 10868 11476 11627 12103 13741 14014 14798 19019 20083 20482 21593 23254 24206 27482 28028 29596 31559 37297 38038 40166 40964 43186 46508 48412 54964 63118 74594 76076 80332 81389 86372 96187 126236 133133 140581 149188 151151 162778 192374 220913 261079 266266 281162 302302 325556 384748 410267 441826 522158 532532 562324 604604 820534 883652 1044316 1058057 1546391 1641068 1827553 2116114 2871869 3092782 3655106 4232228 5743738 6185564 7310212 11487476 20103083 40206166 80412332