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1142493948 = 223231735943
BaseRepresentation
bin100010000011001…
…0001001011111100
32221121210201001200
41010012101023330
54314434301243
6305211335500
740212016101
oct10406211374
92847721050
101142493948
115369a9682
1227a751590
1315290b72b
14aba40aa8
156a47bad3
hex441912fc

1142493948 has 18 divisors (see below), whose sum is σ = 2887970904. Its totient is φ = 380831304.

The previous prime is 1142493943. The next prime is 1142493967. The reversal of 1142493948 is 8493942411.

1142493948 is a `hidden beast` number, since 1 + 14 + 249 + 394 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142493941) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 15867936 + ... + 15868007.

It is an arithmetic number, because the mean of its divisors is an integer number (160442828).

Almost surely, 21142493948 is an apocalyptic number.

1142493948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1142493948 is an abundant number, since it is smaller than the sum of its proper divisors (1745476956).

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

1142493948 is a wasteful number, since it uses less digits than its factorization.

1142493948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31735953 (or 31735948 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 1142493948 is about 33800.7980379162. The cubic root of 1142493948 is about 1045.4051519972.

The spelling of 1142493948 in words is "one billion, one hundred forty-two million, four hundred ninety-three thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 31735943 63471886 95207829 126943772 190415658 285623487 380831316 571246974 1142493948