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2042677944 = 2332377511021
BaseRepresentation
bin111100111000000…
…1100101010111000
312021100122210100200
41321300030222320
513140411143234
6534405402200
7101422322166
oct17160145270
95240583320
102042677944
1195904719a
12490109360
1326726aa98
14155408236
15be4e2d99
hex79c0cab8

2042677944 has 96 divisors (see below), whose sum is σ = 5694911040. Its totient is φ = 660960000.

The previous prime is 2042677883. The next prime is 2042677997. The reversal of 2042677944 is 4497762402.

It is a self number, because there is not a number n which added to its sum of digits gives 2042677944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2000154 + ... + 2001174.

It is an arithmetic number, because the mean of its divisors is an integer number (59321990).

Almost surely, 22042677944 is an apocalyptic number.

2042677944 is a gapful number since it is divisible by the number (24) 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 2042677944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2847455520).

2042677944 is an abundant number, since it is smaller than the sum of its proper divisors (3652233096).

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

2042677944 is a wasteful number, since it uses less digits than its factorization.

2042677944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 2042677944 is about 45195.9947782987. The cubic root of 2042677944 is about 1268.8198564302.

The spelling of 2042677944 in words is "two billion, forty-two million, six hundred seventy-seven thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 751 888 1021 1332 1502 2042 2253 2664 3004 3063 4084 4506 6008 6126 6759 8168 9012 9189 12252 13518 18024 18378 24504 27036 27787 36756 37777 54072 55574 73512 75554 83361 111148 113331 151108 166722 222296 226662 250083 302216 333444 339993 453324 500166 666888 679986 766771 906648 1000332 1359972 1533542 2000664 2300313 2719944 3067084 4600626 6134168 6900939 9201252 13801878 18402504 27603756 28370527 55207512 56741054 85111581 113482108 170223162 226964216 255334743 340446324 510669486 680892648 1021338972 2042677944