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424400025 = 35272235021
BaseRepresentation
bin11001010010111…
…101010010011001
31002120120202101110
4121102331102121
51332121300100
6110040210533
713342224600
oct3122752231
91076522343
10424400025
111a8621025
12ba169a49
1369c0569a
1440516a37
15273d3250
hex194bd499

424400025 has 72 divisors (see below), whose sum is σ = 851891904. Its totient is φ = 185539200.

The previous prime is 424400021. The next prime is 424400029. The reversal of 424400025 is 520004424.

It is an interprime number because it is at equal distance from previous prime (424400021) and next prime (424400029).

It is not a de Polignac number, because 424400025 - 22 = 424400021 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 424399974 and 424400010.

It is not an unprimeable number, because it can be changed into a prime (424400021) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82015 + ... + 87035.

It is an arithmetic number, because the mean of its divisors is an integer number (11831832).

Almost surely, 2424400025 is an apocalyptic number.

It is an amenable number.

424400025 is an abundant number, since it is smaller than the sum of its proper divisors (427491879).

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

424400025 is a wasteful number, since it uses less digits than its factorization.

424400025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5071 (or 5059 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 424400025 is about 20600.9714576765. The cubic root of 424400025 is about 751.4933357355.

Adding to 424400025 its reverse (520004424), we get a palindrome (944404449).

The spelling of 424400025 in words is "four hundred twenty-four million, four hundred thousand, twenty-five".

Divisors: 1 3 5 7 15 21 23 25 35 49 69 75 105 115 147 161 175 245 345 483 525 575 735 805 1127 1225 1725 2415 3381 3675 4025 5021 5635 12075 15063 16905 25105 28175 35147 75315 84525 105441 115483 125525 175735 246029 346449 376575 527205 577415 738087 808381 878675 1230145 1732245 2425143 2636025 2887075 3690435 4041905 5658667 6150725 8661225 12125715 16976001 18452175 20209525 28293335 60628575 84880005 141466675 424400025