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425757464 = 23117183821
BaseRepresentation
bin11001011000001…
…000101100011000
31002200010201102222
4121120020230120
51332443214324
6110125243212
713356610256
oct3130105430
91080121388
10425757464
111a9368980
12ba703508
136a28c4c2
144078b5d6
15275a055e
hex19608b18

425757464 has 64 divisors (see below), whose sum is σ = 894862080. Its totient is φ = 188272000.

The previous prime is 425757461. The next prime is 425757499. The reversal of 425757464 is 464757524.

It is a happy number.

It is a super-2 number, since 2×4257574642 = 362538836303422592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425757461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 518174 + ... + 518994.

It is an arithmetic number, because the mean of its divisors is an integer number (13982220).

Almost surely, 2425757464 is an apocalyptic number.

425757464 is a gapful number since it is divisible by the number (44) 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 425757464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447431040).

425757464 is an abundant number, since it is smaller than the sum of its proper divisors (469104616).

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

425757464 is a wasteful number, since it uses less digits than its factorization.

425757464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 988 counting only the distinct ones).

The product of its digits is 940800, while the sum is 44.

The square root of 425757464 is about 20633.8911502411. The cubic root of 425757464 is about 752.2936975253.

The spelling of 425757464 in words is "four hundred twenty-five million, seven hundred fifty-seven thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 71 83 88 142 166 284 332 568 664 781 821 913 1562 1642 1826 3124 3284 3652 5893 6248 6568 7304 9031 11786 18062 23572 36124 47144 58291 64823 68143 72248 116582 129646 136286 233164 259292 272572 466328 518584 545144 641201 749573 1282402 1499146 2564804 2998292 4838153 5129608 5996584 9676306 19352612 38705224 53219683 106439366 212878732 425757464