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42574200 = 2335270957
BaseRepresentation
bin1010001001101…
…0000101111000
32222002222211020
42202122011320
541344333300
64120302440
71024606014
oct242320570
988088736
1042574200
1122039699
1212311a20
138a88446
145923544
153b0e8a0
hex289a178

42574200 has 48 divisors (see below), whose sum is σ = 131981880. Its totient is φ = 11352960.

The previous prime is 42574199. The next prime is 42574229. The reversal of 42574200 is 247524.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34879 + ... + 36078.

Almost surely, 242574200 is an apocalyptic number.

42574200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42574200 is an abundant number, since it is smaller than the sum of its proper divisors (89407680).

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

42574200 is a wasteful number, since it uses less digits than its factorization.

42574200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70976 (or 70967 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 42574200 is about 6524.8908036840. The cubic root of 42574200 is about 349.1795749663.

The spelling of 42574200 in words is "forty-two million, five hundred seventy-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 70957 141914 212871 283828 354785 425742 567656 709570 851484 1064355 1419140 1702968 1773925 2128710 2838280 3547850 4257420 5321775 7095700 8514840 10643550 14191400 21287100 42574200