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424423480 = 2351331113233
BaseRepresentation
bin11001010011000…
…011000000111000
31002120121221120011
4121103003000320
51332123022410
6110040511304
713342353145
oct3123030070
91076557504
10424423480
111a8637708
12ba17b534
1369c13270
14405213cc
15273da18a
hex194c3038

424423480 has 128 divisors (see below), whose sum is σ = 1075576320. Its totient is φ = 149667840.

The previous prime is 424423477. The next prime is 424423481. The reversal of 424423480 is 84324424.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424423481) 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 31 ways as a sum of consecutive naturals, for example, 1821444 + ... + 1821676.

It is an arithmetic number, because the mean of its divisors is an integer number (8402940).

Almost surely, 2424423480 is an apocalyptic number.

424423480 is a gapful number since it is divisible by the number (40) 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 424423480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537788160).

424423480 is an abundant number, since it is smaller than the sum of its proper divisors (651152840).

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

424423480 is a wasteful number, since it uses less digits than its factorization.

424423480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

The square root of 424423480 is about 20601.5407190822. The cubic root of 424423480 is about 751.5071795546.

The spelling of 424423480 in words is "four hundred twenty-four million, four hundred twenty-three thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 113 124 130 155 226 233 248 260 310 403 452 466 520 565 620 806 904 932 1130 1165 1240 1469 1612 1864 2015 2260 2330 2938 3029 3224 3503 4030 4520 4660 5876 6058 7006 7223 7345 8060 9320 11752 12116 14012 14446 14690 15145 16120 17515 24232 26329 28024 28892 29380 30290 35030 36115 45539 52658 57784 58760 60580 70060 72230 91078 93899 105316 121160 131645 140120 144460 182156 187798 210632 227695 263290 288920 342277 364312 375596 455390 469495 526580 684554 751192 816199 910780 938990 1053160 1369108 1632398 1711385 1821560 1877980 2738216 3264796 3422770 3755960 4080995 6529592 6845540 8161990 10610587 13691080 16323980 21221174 32647960 42442348 53052935 84884696 106105870 212211740 424423480