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4090264368 = 2431926317053
BaseRepresentation
bin1111001111001100…
…0111101100110000
3101120001112221212220
43303303013230300
531334101424433
61513512321040
7203234450001
oct36363075460
911501487786
104090264368
111809936183
129619a3180
13502536a98
142ab32d1a8
1518e1552b3
hexf3cc7b30

4090264368 has 80 divisors (see below), whose sum is σ = 11165594880. Its totient is φ = 1286675712.

The previous prime is 4090264333. The next prime is 4090264369. The reversal of 4090264368 is 8634620904.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4090264369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231330 + ... + 248382.

It is an arithmetic number, because the mean of its divisors is an integer number (139569936).

Almost surely, 24090264368 is an apocalyptic number.

4090264368 is a gapful number since it is divisible by the number (48) 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 4090264368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5582797440).

4090264368 is an abundant number, since it is smaller than the sum of its proper divisors (7075330512).

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

4090264368 is a wasteful number, since it uses less digits than its factorization.

4090264368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17346 (or 17340 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 4090264368 is about 63955.1746772691. The cubic root of 4090264368 is about 1599.2528240510.

The spelling of 4090264368 in words is "four billion, ninety million, two hundred sixty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 263 304 456 526 789 912 1052 1578 2104 3156 4208 4997 6312 9994 12624 14991 17053 19988 29982 34106 39976 51159 59964 68212 79952 102318 119928 136424 204636 239856 272848 324007 409272 648014 818544 972021 1296028 1944042 2592056 3888084 4484939 5184112 7776168 8969878 13454817 15552336 17939756 26909634 35879512 53819268 71759024 85213841 107638536 170427682 215277072 255641523 340855364 511283046 681710728 1022566092 1363421456 2045132184 4090264368