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80496640 = 211571123
BaseRepresentation
bin1001100110001…
…00100000000000
312121110122122001
410303010200000
5131101343030
611553153344
71665132040
oct463044000
9177418561
1080496640
1141490354
1222b5b854
13138a5463
14a995720
157100cca
hex4cc4800

80496640 has 96 divisors (see below), whose sum is σ = 220933440. Its totient is φ = 27574272.

The previous prime is 80496631. The next prime is 80496641. The reversal of 80496640 is 4669408.

It is a self number, because there is not a number n which added to its sum of digits gives 80496640.

It is not an unprimeable number, because it can be changed into a prime (80496641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71119 + ... + 72241.

It is an arithmetic number, because the mean of its divisors is an integer number (2301390).

Almost surely, 280496640 is an apocalyptic number.

80496640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110466720).

80496640 is an abundant number, since it is smaller than the sum of its proper divisors (140436800).

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

80496640 is a wasteful number, since it uses less digits than its factorization.

80496640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 80496640 is about 8971.9919750298. The cubic root of 80496640 is about 431.7767479291.

The spelling of 80496640 in words is "eighty million, four hundred ninety-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1123 1280 1792 2048 2240 2246 2560 3584 4480 4492 5120 5615 7168 7861 8960 8984 10240 11230 14336 15722 17920 17968 22460 31444 35840 35936 39305 44920 62888 71680 71872 78610 89840 125776 143744 157220 179680 251552 287488 314440 359360 503104 574976 628880 718720 1006208 1149952 1257760 1437440 2012416 2299904 2515520 2874880 4024832 5031040 5749760 8049664 10062080 11499520 16099328 20124160 40248320 80496640