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442170050 = 25273183491
BaseRepresentation
bin11010010110101…
…111101011000010
31010211000120021112
4122112233223002
51401143420200
6111513123322
713646245340
oct3226575302
91124016245
10442170050
112076589a3
121040b9542
13707b7aaa
1442a20990
1528c43535
hex1a5afac2

442170050 has 96 divisors (see below), whose sum is σ = 983937024. Its totient is φ = 144648000.

The previous prime is 442170049. The next prime is 442170059. The reversal of 442170050 is 50071244.

It is a junction number, because it is equal to n+sod(n) for n = 442169998 and 442170025.

It is not an unprimeable number, because it can be changed into a prime (442170059) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 900305 + ... + 900795.

It is an arithmetic number, because the mean of its divisors is an integer number (10249344).

Almost surely, 2442170050 is an apocalyptic number.

442170050 is an abundant number, since it is smaller than the sum of its proper divisors (541766974).

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

442170050 is a wasteful number, since it uses less digits than its factorization.

442170050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 442170050 is about 21027.8398795502. The cubic root of 442170050 is about 761.8388356306.

The spelling of 442170050 in words is "four hundred forty-two million, one hundred seventy thousand, fifty".

Divisors: 1 2 5 7 10 14 25 31 35 50 62 70 83 155 166 175 217 310 350 415 434 491 581 775 830 982 1085 1162 1550 2075 2170 2455 2573 2905 3437 4150 4910 5146 5425 5810 6874 10850 12275 12865 14525 15221 17185 18011 24550 25730 29050 30442 34370 36022 40753 64325 76105 81506 85925 90055 106547 128650 152210 171850 180110 203765 213094 285271 380525 407530 450275 532735 570542 761050 900550 1018825 1065470 1263343 1426355 2037650 2526686 2663675 2852710 5327350 6316715 7131775 8843401 12633430 14263550 17686802 31583575 44217005 63167150 88434010 221085025 442170050