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424652480 = 26571011877
BaseRepresentation
bin11001010011111…
…010111011000000
31002121001120200122
4121103322323000
51332202334410
6110045435412
713344325610
oct3123727300
91077046618
10424652480
111a878376a
12ba26bb68
1369c93575
1440580a40
1527432e55
hex194faec0

424652480 has 112 divisors (see below), whose sum is σ = 1167725376. Its totient is φ = 144076800.

The previous prime is 424652479. The next prime is 424652507. The reversal of 424652480 is 84256424.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 424652480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225302 + ... + 227178.

Almost surely, 2424652480 is an apocalyptic number.

424652480 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 424652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583862688).

424652480 is an abundant number, since it is smaller than the sum of its proper divisors (743072896).

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

424652480 is a wasteful number, since it uses less digits than its factorization.

424652480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

The square root of 424652480 is about 20607.0978063385. The cubic root of 424652480 is about 751.6423151835.

The spelling of 424652480 in words is "four hundred twenty-four million, six hundred fifty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 101 112 140 160 202 224 280 320 404 448 505 560 707 808 1010 1120 1414 1616 1877 2020 2240 2828 3232 3535 3754 4040 5656 6464 7070 7508 8080 9385 11312 13139 14140 15016 16160 18770 22624 26278 28280 30032 32320 37540 45248 52556 56560 60064 65695 75080 105112 113120 120128 131390 150160 189577 210224 226240 262780 300320 379154 420448 525560 600640 758308 840896 947885 1051120 1327039 1516616 1895770 2102240 2654078 3033232 3791540 4204480 5308156 6066464 6635195 7583080 10616312 12132928 13270390 15166160 21232624 26540780 30332320 42465248 53081560 60664640 84930496 106163120 212326240 424652480