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442120640 = 26513106279
BaseRepresentation
bin11010010110100…
…011100111000000
31010210221001111112
4122112203213000
51401140330030
6111512102452
713645651313
oct3226434700
91123831445
10442120640
11207624865
12104094a28
137079b460
1442a0a97a
1528c33a95
hex1a5a39c0

442120640 has 56 divisors (see below), whose sum is σ = 1133795040. Its totient is φ = 163243008.

The previous prime is 442120579. The next prime is 442120661. The reversal of 442120640 is 46021244.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48980 + ... + 57299.

It is an arithmetic number, because the mean of its divisors is an integer number (20246340).

Almost surely, 2442120640 is an apocalyptic number.

442120640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442120640 is an abundant number, since it is smaller than the sum of its proper divisors (691674400).

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

442120640 is a wasteful number, since it uses less digits than its factorization.

442120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106309 (or 106299 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 442120640 is about 21026.6649756922. The cubic root of 442120640 is about 761.8104575145.

Adding to 442120640 its reverse (46021244), we get a palindrome (488141884).

The spelling of 442120640 in words is "four hundred forty-two million, one hundred twenty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 106279 212558 425116 531395 850232 1062790 1381627 1700464 2125580 2763254 3400928 4251160 5526508 6801856 6908135 8502320 11053016 13816270 17004640 22106032 27632540 34009280 44212064 55265080 88424128 110530160 221060320 442120640