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424613640 = 2335112711187
BaseRepresentation
bin11001010011110…
…001011100001000
31002120222121102010
4121103301130020
51332200114030
6110044535520
713344104433
oct3123613410
91076877363
10424613640
111a8757570
12ba2515a0
1369c7b999
144057081a
15274266b0
hex194f1708

424613640 has 128 divisors (see below), whose sum is σ = 1395947520. Its totient is φ = 102470400.

The previous prime is 424613633. The next prime is 424613681. The reversal of 424613640 is 46316424.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 424613598 and 424613607.

It is an unprimeable number.

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, 357127 + ... + 358313.

It is an arithmetic number, because the mean of its divisors is an integer number (10905840).

Almost surely, 2424613640 is an apocalyptic number.

424613640 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 424613640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697973760).

424613640 is an abundant number, since it is smaller than the sum of its proper divisors (971333880).

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

424613640 is a wasteful number, since it uses less digits than its factorization.

424613640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 424613640 is about 20606.1553910476. The cubic root of 424613640 is about 751.6193986585.

The spelling of 424613640 in words is "four hundred twenty-four million, six hundred thirteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 271 330 440 542 660 813 1084 1187 1320 1355 1626 2168 2374 2710 2981 3252 3561 4065 4748 5420 5935 5962 6504 7122 8130 8943 9496 10840 11870 11924 13057 14244 14905 16260 17805 17886 23740 23848 26114 28488 29810 32520 35610 35772 39171 44715 47480 52228 59620 65285 71220 71544 78342 89430 104456 119240 130570 142440 156684 178860 195855 261140 313368 321677 357720 391710 522280 643354 783420 965031 1286708 1566840 1608385 1930062 2573416 3216770 3538447 3860124 4825155 6433540 7076894 7720248 9650310 10615341 12867080 14153788 17692235 19300620 21230682 28307576 35384470 38601240 42461364 53076705 70768940 84922728 106153410 141537880 212306820 424613640