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1942744104 = 2332729612179
BaseRepresentation
bin111001111001011…
…1110110000101000
312000101121121220100
41303302332300220
512434320302404
6520435425400
766100023660
oct16362766050
95011547810
101942744104
119076a0444
12462755260
1324c64b432
141460331a0
15b5852d39
hex73cbec28

1942744104 has 192 divisors, whose sum is σ = 6325488000. Its totient is φ = 526901760.

The previous prime is 1942744081. The next prime is 1942744117. The reversal of 1942744104 is 4014472491.

1942744104 is a `hidden beast` number, since 194 + 27 + 441 + 0 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 890487 + ... + 892665.

It is an arithmetic number, because the mean of its divisors is an integer number (32945250).

Almost surely, 21942744104 is an apocalyptic number.

1942744104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1942744104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162744000).

1942744104 is an abundant number, since it is smaller than the sum of its proper divisors (4382743896).

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

1942744104 is a wasteful number, since it uses less digits than its factorization.

1942744104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1942744104 is about 44076.5709192537. The cubic root of 1942744104 is about 1247.7814736956.

The spelling of 1942744104 in words is "one billion, nine hundred forty-two million, seven hundred forty-four thousand, one hundred four".