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425065440 = 2535885553
BaseRepresentation
bin11001010101011…
…111101111100000
31002121211120011110
4121111133233200
51332304043230
6110102343320
713350665562
oct3125375740
91077746143
10425065440
111a8a35a58
12ba42ab40
136a0a9517
144064b332
15274b54b0
hex1955fbe0

425065440 has 48 divisors (see below), whose sum is σ = 1338957648. Its totient is φ = 113350656.

The previous prime is 425065439. The next prime is 425065457. The reversal of 425065440 is 44560524.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 425065398 and 425065407.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 442297 + ... + 443256.

It is an arithmetic number, because the mean of its divisors is an integer number (27894951).

Almost surely, 2425065440 is an apocalyptic number.

425065440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

425065440 is an abundant number, since it is smaller than the sum of its proper divisors (913892208).

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

425065440 is a wasteful number, since it uses less digits than its factorization.

425065440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885571 (or 885563 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 425065440 is about 20617.1152201272. The cubic root of 425065440 is about 751.8858850532.

The spelling of 425065440 in words is "four hundred twenty-five million, sixty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 885553 1771106 2656659 3542212 4427765 5313318 7084424 8855530 10626636 13283295 14168848 17711060 21253272 26566590 28337696 35422120 42506544 53133180 70844240 85013088 106266360 141688480 212532720 425065440