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42533302400 = 275229458333
BaseRepresentation
bin100111100111001011…
…101011000010000000
311001210012220122002022
4213213023223002000
51144102011134100
631312312141012
73034005051041
oct474713530200
9131705818068
1042533302400
1117046a38696
1282b0397768
13401ab71b74
1420b6c0a8c8
15118e0dee85
hex9e72eb080

42533302400 has 96 divisors (see below), whose sum is σ = 108693908100. Its totient is φ = 16426618880.

The previous prime is 42533302373. The next prime is 42533302417. The reversal of 42533302400 is 420333524.

It can be written as a sum of positive squares in 6 ways, for example, as 31835123776 + 10698178624 = 178424^2 + 103432^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42533302400.

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, 136367 + ... + 321966.

Almost surely, 242533302400 is an apocalyptic number.

42533302400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42533302400 is an abundant number, since it is smaller than the sum of its proper divisors (66160605700).

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

42533302400 is a wasteful number, since it uses less digits than its factorization.

42533302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458386 (or 458369 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 26.

Adding to 42533302400 its reverse (420333524), we get a palindrome (42953635924).

The spelling of 42533302400 in words is "forty-two billion, five hundred thirty-three million, three hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 128 145 160 200 232 290 320 400 464 580 640 725 800 928 1160 1450 1600 1856 2320 2900 3200 3712 4640 5800 9280 11600 18560 23200 46400 92800 458333 916666 1833332 2291665 3666664 4583330 7333328 9166660 11458325 13291657 14666656 18333320 22916650 26583314 29333312 36666640 45833300 53166628 58666624 66458285 73333280 91666600 106333256 132916570 146666560 183333200 212666512 265833140 293333120 332291425 366666400 425333024 531666280 664582850 733332800 850666048 1063332560 1329165700 1466665600 1701332096 2126665120 2658331400 4253330240 5316662800 8506660480 10633325600 21266651200 42533302400