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4006747944 = 233422727239
BaseRepresentation
bin1110111011010010…
…0001111100101000
3101100020101212220000
43232310201330220
531201211413234
61501330303000
7201201536613
oct35664417450
911306355800
104006747944
111776783041
12939a27a60
134bb144c94
142a01cd17a
15186b59899
hexeed21f28

4006747944 has 80 divisors (see below), whose sum is σ = 11272456800. Its totient is φ = 1329650208.

The previous prime is 4006747939. The next prime is 4006747951. The reversal of 4006747944 is 4497476004.

It is a self number, because there is not a number n which added to its sum of digits gives 4006747944.

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 19 ways as a sum of consecutive naturals, for example, 133477 + ... + 160715.

It is an arithmetic number, because the mean of its divisors is an integer number (140905710).

Almost surely, 24006747944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4006747944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5636228400).

4006747944 is an abundant number, since it is smaller than the sum of its proper divisors (7265708856).

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

4006747944 is a wasteful number, since it uses less digits than its factorization.

4006747944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27484 (or 27471 counting only the distinct ones).

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

The square root of 4006747944 is about 63298.8779047465. The cubic root of 4006747944 is about 1588.2931915974.

The spelling of 4006747944 in words is "four billion, six million, seven hundred forty-seven thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 227 324 454 648 681 908 1362 1816 2043 2724 4086 5448 6129 8172 12258 16344 18387 24516 27239 36774 49032 54478 73548 81717 108956 147096 163434 217912 245151 326868 490302 653736 735453 980604 1470906 1961208 2206359 2941812 4412718 5883624 6183253 8825436 12366506 17650872 18549759 24733012 37099518 49466024 55649277 74199036 111298554 148398072 166947831 222597108 333895662 445194216 500843493 667791324 1001686986 1335582648 2003373972 4006747944