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2525421400 = 2352173592069
BaseRepresentation
bin1001011010000110…
…1101111101011000
320112000000200212221
42112201231331120
520133001441100
61054332313424
7116403504415
oct22641557530
96460020787
102525421400
111086597527
125a5912874
133132903b8
1419d58b10c
15eba9d01a
hex9686df58

2525421400 has 96 divisors (see below), whose sum is σ = 6237324000. Its totient is φ = 947640320.

The previous prime is 2525421397. The next prime is 2525421401. The reversal of 2525421400 is 41245252.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2525421401) 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 23 ways as a sum of consecutive naturals, for example, 1219566 + ... + 1221634.

It is an arithmetic number, because the mean of its divisors is an integer number (64972125).

Almost surely, 22525421400 is an apocalyptic number.

2525421400 is a gapful number since it is divisible by the number (20) 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 2525421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118662000).

2525421400 is an abundant number, since it is smaller than the sum of its proper divisors (3711902600).

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

2525421400 is a wasteful number, since it uses less digits than its factorization.

2525421400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 2525421400 is about 50253.5710173914. The cubic root of 2525421400 is about 1361.7935894285.

Adding to 2525421400 its reverse (41245252), we get a palindrome (2566666652).

The spelling of 2525421400 in words is "two billion, five hundred twenty-five million, four hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 359 425 680 718 850 1436 1700 1795 2069 2872 3400 3590 4138 6103 7180 8276 8975 10345 12206 14360 16552 17950 20690 24412 30515 35173 35900 41380 48824 51725 61030 70346 71800 82760 103450 122060 140692 152575 175865 206900 244120 281384 305150 351730 413800 610300 703460 742771 879325 1220600 1406920 1485542 1758650 2971084 3517300 3713855 5942168 7034600 7427710 12627107 14855420 18569275 25254214 29710840 37138550 50508428 63135535 74277100 101016856 126271070 148554200 252542140 315677675 505084280 631355350 1262710700 2525421400