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1028401488 = 24337133529
BaseRepresentation
bin111101010011000…
…010100101010000
32122200010012122000
4331103002211100
54101232321423
6250014114000
734325161032
oct7523024520
92580105560
101028401488
11488562294
122484ab900
131350a26ba
149a821c52
1560441843
hex3d4c2950

1028401488 has 80 divisors (see below), whose sum is σ = 2993558400. Its totient is φ = 337962240.

The previous prime is 1028401487. The next prime is 1028401489. The reversal of 1028401488 is 8841048201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1028401487) and next prime (1028401489).

It is a super-2 number, since 2×10284014882 = 2115219241041228288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028401487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13908 + ... + 47436.

It is an arithmetic number, because the mean of its divisors is an integer number (37419480).

Almost surely, 21028401488 is an apocalyptic number.

1028401488 is a gapful number since it is divisible by the number (18) 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 1028401488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496779200).

1028401488 is an abundant number, since it is smaller than the sum of its proper divisors (1965156912).

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

1028401488 is a wasteful number, since it uses less digits than its factorization.

1028401488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33617 (or 33605 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 1028401488 is about 32068.6995059045. The cubic root of 1028401488 is about 1009.3789234582.

Adding to 1028401488 its reverse (8841048201), we get a palindrome (9869449689).

The spelling of 1028401488 in words is "one billion, twenty-eight million, four hundred one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 108 142 144 213 216 284 426 432 568 639 852 1136 1278 1704 1917 2556 3408 3834 5112 7668 10224 15336 30672 33529 67058 100587 134116 201174 268232 301761 402348 536464 603522 804696 905283 1207044 1609392 1810566 2380559 2414088 3621132 4761118 4828176 7141677 7242264 9522236 14283354 14484528 19044472 21425031 28566708 38088944 42850062 57133416 64275093 85700124 114266832 128550186 171400248 257100372 342800496 514200744 1028401488