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425298384 = 24337178273
BaseRepresentation
bin11001010110011…
…000100111010000
31002122021101201000
4121112120213100
51332334022014
6110111342000
713352655660
oct3126304720
91078241630
10425298384
111a9084a75
12ba521900
136a15b564
14406ac1a0
152750e509
hex195989d0

425298384 has 160 divisors (see below), whose sum is σ = 1477405440. Its totient is φ = 114352128.

The previous prime is 425298353. The next prime is 425298389. The reversal of 425298384 is 483892524.

425298384 is a `hidden beast` number, since 42 + 529 + 8 + 3 + 84 = 666.

It is a super-2 number, since 2×4252983842 = 361757430866022912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425298389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47272 + ... + 55544.

It is an arithmetic number, because the mean of its divisors is an integer number (9233784).

Almost surely, 2425298384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425298384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738702720).

425298384 is an abundant number, since it is smaller than the sum of its proper divisors (1052107056).

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

425298384 is a wasteful number, since it uses less digits than its factorization.

425298384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8314 (or 8302 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 425298384 is about 20622.7637333118. The cubic root of 425298384 is about 752.0232092580.

The spelling of 425298384 in words is "four hundred twenty-five million, two hundred ninety-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 34 36 42 48 51 54 56 63 68 72 84 102 108 112 119 126 136 144 153 168 189 204 216 238 252 272 306 336 357 378 408 432 459 476 504 612 714 756 816 918 952 1008 1071 1224 1428 1512 1836 1904 2142 2448 2856 3024 3213 3672 4284 5712 6426 7344 8273 8568 12852 16546 17136 24819 25704 33092 49638 51408 57911 66184 74457 99276 115822 132368 140641 148914 173733 198552 223371 231644 281282 297828 347466 397104 421923 446742 463288 521199 562564 595656 694932 843846 893484 926576 984487 1042398 1125128 1191312 1265769 1389864 1563597 1687692 1786968 1968974 2084796 2250256 2531538 2779728 2953461 3127194 3375384 3573936 3797307 3937948 4169592 5063076 5906922 6254388 6750768 7594614 7875896 8339184 8860383 10126152 11813844 12508776 15189228 15751792 17720766 20252304 23627688 25017552 26581149 30378456 35441532 47255376 53162298 60756912 70883064 106324596 141766128 212649192 425298384