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1428009198 = 237119913119
BaseRepresentation
bin101010100011101…
…1011000011101110
310200112001101100120
41111013123003232
510411032243243
6353411105410
750246610060
oct12507330356
93615041316
101428009198
1167308a4a0
1233a2a2266
13199b07575
14d7923730
1585578c83
hex551db0ee

1428009198 has 64 divisors (see below), whose sum is σ = 3565486080. Its totient is φ = 370418400.

The previous prime is 1428009173. The next prime is 1428009199. The reversal of 1428009198 is 8919008241.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1428009199) 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, 456283 + ... + 459401.

It is an arithmetic number, because the mean of its divisors is an integer number (55710720).

Almost surely, 21428009198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1428009198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782743040).

1428009198 is an abundant number, since it is smaller than the sum of its proper divisors (2137476882).

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

1428009198 is a wasteful number, since it uses less digits than its factorization.

1428009198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4133.

The product of its (nonzero) digits is 41472, while the sum is 42.

The square root of 1428009198 is about 37789.0089576321. The cubic root of 1428009198 is about 1126.1001118257.

The spelling of 1428009198 in words is "one billion, four hundred twenty-eight million, nine thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 991 1982 2973 3119 5946 6238 6937 9357 10901 13874 18714 20811 21802 21833 32703 34309 41622 43666 65406 65499 68618 76307 102927 130998 152614 205854 228921 240163 457842 480326 720489 1440978 3090929 6181858 9272787 18545574 21636503 34000219 43273006 64909509 68000438 102000657 129819018 204001314 238001533 476003066 714004599 1428009198