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442252104 = 23377336061
BaseRepresentation
bin11010010111000…
…011101101001000
31010211011201211120
4122113003231020
51401204031404
6111514555240
713650036510
oct3227035510
91124151746
10442252104
11207704608
12104138b20
1370816248
1442a42840
1528c5c9d9
hex1a5c3b48

442252104 has 64 divisors (see below), whose sum is σ = 1280922240. Its totient is φ = 124623360.

The previous prime is 442252103. The next prime is 442252123. The reversal of 442252104 is 401252244.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (442252103) 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, 5767 + ... + 30294.

It is an arithmetic number, because the mean of its divisors is an integer number (20014410).

Almost surely, 2442252104 is an apocalyptic number.

It is an amenable number.

442252104 is an abundant number, since it is smaller than the sum of its proper divisors (838670136).

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

442252104 is a wasteful number, since it uses less digits than its factorization.

442252104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36150 (or 36146 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 442252104 is about 21029.7908691456. The cubic root of 442252104 is about 761.8859578162.

The spelling of 442252104 in words is "four hundred forty-two million, two hundred fifty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 73 84 146 168 219 292 438 511 584 876 1022 1533 1752 2044 3066 4088 6132 12264 36061 72122 108183 144244 216366 252427 288488 432732 504854 757281 865464 1009708 1514562 2019416 2632453 3029124 5264906 6058248 7897359 10529812 15794718 18427171 21059624 31589436 36854342 55281513 63178872 73708684 110563026 147417368 221126052 442252104