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8414889390 = 2335223139759
BaseRepresentation
bin1111101011001000…
…10000010110101110
3210201110002200011000
413311210100112232
5114213202430030
63511000141130
7415346244135
oct76544202656
923643080130
108414889390
113628a92a46
12176a1677a6
13a414988bb
1459b82691c
15343b50860
hex1f59105ae

8414889390 has 64 divisors (see below), whose sum is σ = 22540492800. Its totient is φ = 2233891872.

The previous prime is 8414889383. The next prime is 8414889397. The reversal of 8414889390 is 939884148.

It is an interprime number because it is at equal distance from previous prime (8414889383) and next prime (8414889397).

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8414889397) by changing a digit.

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, 9670 + ... + 130089.

It is an arithmetic number, because the mean of its divisors is an integer number (352195200).

Almost surely, 28414889390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8414889390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11270246400).

8414889390 is an abundant number, since it is smaller than the sum of its proper divisors (14125603410).

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

8414889390 is a wasteful number, since it uses less digits than its factorization.

8414889390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139998 (or 139992 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 8414889390 is about 91732.7062175754. The cubic root of 8414889390 is about 2033.9930778299.

The spelling of 8414889390 in words is "eight billion, four hundred fourteen million, eight hundred eighty-nine thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 223 270 446 669 1115 1338 2007 2230 3345 4014 6021 6690 10035 12042 20070 30105 60210 139759 279518 419277 698795 838554 1257831 1397590 2096385 2515662 3773493 4192770 6289155 7546986 12578310 18867465 31166257 37734930 62332514 93498771 155831285 186997542 280496313 311662570 467493855 560992626 841488939 934987710 1402481565 1682977878 2804963130 4207444695 8414889390