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442006668 = 223225514813
BaseRepresentation
bin11010010110000…
…111110010001100
31010210201021011100
4122112013302030
51401123203133
6111505423100
713644665115
oct3226076214
91123637140
10442006668
11207557174
1210403aa90
137075b60c
14429bb20c
1528c0ee13
hex1a587c8c

442006668 has 36 divisors (see below), whose sum is σ = 1117964848. Its totient is φ = 147247200.

The previous prime is 442006657. The next prime is 442006693. The reversal of 442006668 is 866600244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 89430 + ... + 94242.

Almost surely, 2442006668 is an apocalyptic number.

It is an amenable number.

442006668 is an abundant number, since it is smaller than the sum of its proper divisors (675958180).

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

442006668 is a wasteful number, since it uses less digits than its factorization.

442006668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7374 (or 7369 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 442006668 is about 21023.9546232387. The cubic root of 442006668 is about 761.7449908256.

The spelling of 442006668 in words is "four hundred forty-two million, six thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 2551 4813 5102 7653 9626 10204 14439 15306 19252 22959 28878 30612 43317 45918 57756 86634 91836 173268 12277963 24555926 36833889 49111852 73667778 110501667 147335556 221003334 442006668