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80332416 = 2732137509
BaseRepresentation
bin1001100100111…
…00011010000000
312121011022100200
410302130122000
5131031114131
611545445200
71663546203
oct462343200
9177138320
1080332416
1141388a2a
1222aa0800
1313848798
14a95193a
1570bc2e6
hex4c9c680

80332416 has 96 divisors (see below), whose sum is σ = 233309700. Its totient is φ = 26529792.

The previous prime is 80332403. The next prime is 80332433. The reversal of 80332416 is 61423308.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 76737600 + 3594816 = 8760^2 + 1896^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 80332416.

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, 157570 + ... + 158078.

Almost surely, 280332416 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 80332416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116654850).

80332416 is an abundant number, since it is smaller than the sum of its proper divisors (152977284).

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

80332416 is a wasteful number, since it uses less digits than its factorization.

80332416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 80332416 is about 8962.8352656958. The cubic root of 80332416 is about 431.4829204266.

The spelling of 80332416 in words is "eighty million, three hundred thirty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 137 144 192 274 288 384 411 509 548 576 822 1018 1096 1152 1233 1527 1644 2036 2192 2466 3054 3288 4072 4384 4581 4932 6108 6576 8144 8768 9162 9864 12216 13152 16288 17536 18324 19728 24432 26304 32576 36648 39456 48864 52608 65152 69733 73296 78912 97728 139466 146592 157824 195456 209199 278932 293184 418398 557864 586368 627597 836796 1115728 1255194 1673592 2231456 2510388 3347184 4462912 5020776 6694368 8925824 10041552 13388736 20083104 26777472 40166208 80332416