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452806480 = 24571942557
BaseRepresentation
bin11010111111010…
…100011101010000
31011120000221201101
4122333110131100
51411404301410
6112533114144
714135535340
oct3277243520
91146027641
10452806480
11212663235
12107788954
1372a70239
14441ccd20
1529b44d3a
hex1afd4750

452806480 has 80 divisors (see below), whose sum is σ = 1266526080. Its totient is φ = 147073536.

The previous prime is 452806463. The next prime is 452806489. The reversal of 452806480 is 84608254.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452806489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10639 + ... + 31918.

It is an arithmetic number, because the mean of its divisors is an integer number (15831576).

Almost surely, 2452806480 is an apocalyptic number.

452806480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

452806480 is the 10640-th decagonal number.

It is an amenable number.

452806480 is an abundant number, since it is smaller than the sum of its proper divisors (813719600).

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

452806480 is a wasteful number, since it uses less digits than its factorization.

452806480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42596 (or 42590 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 452806480 is about 21279.2499867829. The cubic root of 452806480 is about 767.8991928596.

The spelling of 452806480 in words is "four hundred fifty-two million, eight hundred six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 2128 2660 5320 10640 42557 85114 170228 212785 297899 340456 425570 595798 680912 808583 851140 1191596 1489495 1617166 1702280 2383192 2978990 3234332 3404560 4042915 4766384 5660081 5957980 6468664 8085830 11320162 11915960 12937328 16171660 22640324 23831920 28300405 32343320 45280648 56600810 64686640 90561296 113201620 226403240 452806480