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4005044022 = 237307383811
BaseRepresentation
bin1110111010111000…
…0001111100110110
3101100010012022112210
43232232001330312
531200242402042
61501225554250
7201151212120
oct35656017466
911303168483
104005044022
111775819941
12939345986
134ba999545
1429dca8210
1518691ea9c
hexeeb81f36

4005044022 has 64 divisors (see below), whose sum is σ = 9219538944. Its totient is φ = 1136190240.

The previous prime is 4005044011. The next prime is 4005044023. The reversal of 4005044022 is 2204405004.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 4005044022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005044023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4937997 + ... + 4938807.

It is an arithmetic number, because the mean of its divisors is an integer number (144055296).

Almost surely, 24005044022 is an apocalyptic number.

4005044022 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4005044022 is an abundant number, since it is smaller than the sum of its proper divisors (5214494922).

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

4005044022 is a wasteful number, since it uses less digits than its factorization.

4005044022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513.

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 4005044022 is about 63285.4171353875. The cubic root of 4005044022 is about 1588.0680121856.

Adding to 4005044022 its reverse (2204405004), we get a palindrome (6209449026).

The spelling of 4005044022 in words is "four billion, five million, forty-four thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 42 307 383 614 766 811 921 1149 1622 1842 2149 2298 2433 2681 4298 4866 5362 5677 6447 8043 11354 12894 16086 17031 34062 117581 235162 248977 310613 352743 497954 621226 705486 746931 823067 931839 1493862 1646134 1742839 1863678 2174291 2469201 3485678 4348582 4938402 5228517 6522873 10457034 13045746 95358191 190716382 286074573 572149146 667507337 1335014674 2002522011 4005044022