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424575984 = 24372971861
BaseRepresentation
bin11001010011101…
…000001111110000
31002120220200202110
4121103220033300
51332142412414
6110044045320
713343556600
oct3123501760
91076820673
10424575984
111a8731248
12ba233840
1369c677c1
1440560c00
152741a459
hex194e83f0

424575984 has 120 divisors (see below), whose sum is σ = 1289740368. Its totient is φ = 119992320.

The previous prime is 424575973. The next prime is 424575989. The reversal of 424575984 is 489575424.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424575989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227214 + ... + 229074.

Almost surely, 2424575984 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 424575984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644870184).

424575984 is an abundant number, since it is smaller than the sum of its proper divisors (865164384).

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

424575984 is a wasteful number, since it uses less digits than its factorization.

424575984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983 (or 1970 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 48.

The square root of 424575984 is about 20605.2416632273. The cubic root of 424575984 is about 751.5971793873.

The spelling of 424575984 in words is "four hundred twenty-four million, five hundred seventy-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 97 98 112 147 168 194 196 291 294 336 388 392 582 588 679 776 784 1164 1176 1358 1552 1861 2037 2328 2352 2716 3722 4074 4656 4753 5432 5583 7444 8148 9506 10864 11166 13027 14259 14888 16296 19012 22332 26054 28518 29776 32592 38024 39081 44664 52108 57036 76048 78162 89328 91189 104216 114072 156324 180517 182378 208432 228144 273567 312648 361034 364756 541551 547134 625296 722068 729512 1083102 1094268 1263619 1444136 1459024 2166204 2188536 2527238 2888272 3790857 4332408 4377072 5054476 7581714 8664816 8845333 10108952 15163428 17690666 20217904 26535999 30326856 35381332 53071998 60653712 70762664 106143996 141525328 212287992 424575984