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80354592 = 2534291069
BaseRepresentation
bin1001100101000…
…01110100100000
312121012102210000
410302201310200
5131032321332
611550140000
71664000643
oct462416440
9177172700
1080354592
11413a365a
1222ab1600
13138558c6
14a959a5a
1570c3b7c
hex4ca1d20

80354592 has 120 divisors (see below), whose sum is σ = 244698300. Its totient is φ = 25837056.

The previous prime is 80354587. The next prime is 80354609. The reversal of 80354592 is 29545308.

It can be written as a sum of positive squares in 2 ways, for example, as 80353296 + 1296 = 8964^2 + 36^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 74634 + ... + 75702.

Almost surely, 280354592 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 80354592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122349150).

80354592 is an abundant number, since it is smaller than the sum of its proper divisors (164343708).

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

80354592 is a wasteful number, since it uses less digits than its factorization.

80354592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 80354592 is about 8964.0722888651. The cubic root of 80354592 is about 431.5226208173.

The spelling of 80354592 in words is "eighty million, three hundred fifty-four thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 108 116 144 162 174 216 232 261 288 324 348 432 464 522 648 696 783 864 928 1044 1069 1296 1392 1566 2088 2138 2349 2592 2784 3132 3207 4176 4276 4698 6264 6414 8352 8552 9396 9621 12528 12828 17104 18792 19242 25056 25656 28863 31001 34208 37584 38484 51312 57726 62002 75168 76968 86589 93003 102624 115452 124004 153936 173178 186006 230904 248008 279009 307872 346356 372012 461808 496016 558018 692712 744024 837027 923616 992032 1116036 1385424 1488048 1674054 2232072 2511081 2770848 2976096 3348108 4464144 5022162 6696216 8928288 10044324 13392432 20088648 26784864 40177296 80354592