Search a number
-
+
2493993942 = 2331117246979
BaseRepresentation
bin1001010010100111…
…0101001111010110
320102210220000112000
42110221311033112
520101430301232
61051250540130
7115542412236
oct22451651726
96383800460
102493993942
11106a881620
12597297646
1330990877b
14199329cc6
15e8e4127c
hex94a753d6

2493993942 has 64 divisors (see below), whose sum is σ = 6401721600. Its totient is φ = 711296640.

The previous prime is 2493993923. The next prime is 2493993977.

2493993942 is a `hidden beast` number, since 249 + 3 + 9 + 9 + 394 + 2 = 666.

2493993942 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 113392 + ... + 133587.

It is an arithmetic number, because the mean of its divisors is an integer number (100026900).

Almost surely, 22493993942 is an apocalyptic number.

2493993942 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2493993942 is an abundant number, since it is smaller than the sum of its proper divisors (3907727658).

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

2493993942 is a wasteful number, since it uses less digits than its factorization.

2493993942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247018 (or 247012 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 54.

The square root of 2493993942 is about 49939.9033038711. The cubic root of 2493993942 is about 1356.1210734560.

The spelling of 2493993942 in words is "two billion, four hundred ninety-three million, nine hundred ninety-three thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 198 297 306 374 459 561 594 918 1122 1683 3366 5049 10098 246979 493958 740937 1481874 2222811 2716769 4198643 4445622 5433538 6668433 8150307 8397286 12595929 13336866 16300614 24450921 25191858 37787787 46185073 48901842 73352763 75575574 92370146 113363361 138555219 146705526 226726722 277110438 415665657 831331314 1246996971 2493993942