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1025424414 = 233719672131
BaseRepresentation
bin111101000111101…
…011110000011110
32122110111221212000
4331013223300132
54100002040124
6245430223130
734260651360
oct7507536036
92573457760
101025424414
114869095a3
122474b4aa6
1313459c611
149a288d30
15600546c9
hex3d1ebc1e

1025424414 has 128 divisors (see below), whose sum is σ = 2783539200. Its totient is φ = 273287520.

The previous prime is 1025424383. The next prime is 1025424419. The reversal of 1025424414 is 4144245201.

1025424414 is a `hidden beast` number, since 102 + 542 + 4 + 4 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025424419) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 480129 + ... + 482259.

It is an arithmetic number, because the mean of its divisors is an integer number (21746400).

Almost surely, 21025424414 is an apocalyptic number.

1025424414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1025424414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391769600).

1025424414 is an abundant number, since it is smaller than the sum of its proper divisors (1758114786).

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

1025424414 is a wasteful number, since it uses less digits than its factorization.

1025424414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2235 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 1025424414 is about 32022.2487342785. The cubic root of 1025424414 is about 1008.4039799389.

Adding to 1025424414 its reverse (4144245201), we get a palindrome (5169669615).

The spelling of 1025424414 in words is "one billion, twenty-five million, four hundred twenty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 67 114 126 133 134 171 189 201 266 342 378 399 402 469 513 603 798 938 1026 1197 1206 1273 1407 1809 2131 2394 2546 2814 3591 3618 3819 4221 4262 6393 7182 7638 8442 8911 11457 12663 12786 14917 17822 19179 22914 25326 26733 29834 34371 38358 40489 44751 53466 57537 68742 80199 80978 89502 115074 121467 134253 142777 160398 240597 242934 268506 283423 285554 364401 402759 428331 481194 566846 728802 805518 850269 856662 999439 1093203 1284993 1700538 1998878 2186406 2550807 2569986 2712763 2998317 3854979 5101614 5425526 5996634 7652421 7709958 8138289 8994951 15304842 16276578 17989902 18989341 24414867 26984853 37978682 48829734 53969706 56968023 73244601 113936046 146489202 170904069 341808138 512712207 1025424414