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80628352 = 277292107
BaseRepresentation
bin1001100111001…
…00101010000000
312121201100022021
410303210222000
5131120101402
612000051224
71666221040
oct463445200
9177640267
1080628352
1141570302
1223003b14
13139203ac
14a9cb720
157129d37
hex4ce4a80

80628352 has 96 divisors (see below), whose sum is σ = 191898720. Its totient is φ = 33051648.

The previous prime is 80628349. The next prime is 80628367. The reversal of 80628352 is 25382608.

It is a super-2 number, since 2×806283522 = 13001862292471808, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 753483 + ... + 753589.

It is an arithmetic number, because the mean of its divisors is an integer number (1998945).

Almost surely, 280628352 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 80628352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95949360).

80628352 is an abundant number, since it is smaller than the sum of its proper divisors (111270368).

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

80628352 is a wasteful number, since it uses less digits than its factorization.

80628352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 80628352 is about 8979.3291508887. The cubic root of 80628352 is about 432.0121167155.

The spelling of 80628352 in words is "eighty million, six hundred twenty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 107 112 116 128 203 214 224 232 406 428 448 464 749 812 841 856 896 928 1498 1624 1682 1712 1856 2996 3103 3248 3364 3424 3712 5887 5992 6206 6496 6728 6848 11774 11984 12412 12992 13456 13696 21721 23548 23968 24824 25984 26912 43442 47096 47936 49648 53824 86884 89987 94192 95872 99296 107648 173768 179974 188384 198592 347536 359948 376768 397184 629909 695072 719896 753536 1259818 1390144 1439792 2519636 2780288 2879584 5039272 5759168 10078544 11518336 20157088 40314176 80628352