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424325520 = 24335316337
BaseRepresentation
bin11001010010101…
…011000110010000
31002120102222012000
4121102223012100
51332111404040
6110034434000
713341464433
oct3122530620
91076388160
10424325520
111a8580053
12ba132900
1369baa7b8
14404d781a
15273bb130
hex194ab190

424325520 has 160 divisors (see below), whose sum is σ = 1508951040. Its totient is φ = 109486080.

The previous prime is 424325519. The next prime is 424325521. The reversal of 424325520 is 25523424.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (424325519) and next prime (424325521).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (424325521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63792 + ... + 70128.

It is an arithmetic number, because the mean of its divisors is an integer number (9430944).

Almost surely, 2424325520 is an apocalyptic number.

424325520 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 424325520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754475520).

424325520 is an abundant number, since it is smaller than the sum of its proper divisors (1084625520).

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

424325520 is a wasteful number, since it uses less digits than its factorization.

424325520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6390 (or 6378 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 424325520 is about 20599.1630897957. The cubic root of 424325520 is about 751.4493573468.

Adding to 424325520 its reverse (25523424), we get a palindrome (449848944).

The spelling of 424325520 in words is "four hundred twenty-four million, three hundred twenty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 36 40 45 48 54 60 62 72 80 90 93 108 120 124 135 144 155 180 186 216 240 248 270 279 310 360 372 432 465 496 540 558 620 720 744 837 930 1080 1116 1240 1395 1488 1674 1860 2160 2232 2480 2790 3348 3720 4185 4464 5580 6337 6696 7440 8370 11160 12674 13392 16740 19011 22320 25348 31685 33480 38022 50696 57033 63370 66960 76044 95055 101392 114066 126740 152088 171099 190110 196447 228132 253480 285165 304176 342198 380220 392894 456264 506960 570330 589341 684396 760440 785788 855495 912528 982235 1140660 1178682 1368792 1520880 1571576 1710990 1768023 1964470 2281320 2357364 2737584 2946705 3143152 3421980 3536046 3928940 4562640 4714728 5304069 5893410 6843960 7072092 7857880 8840115 9429456 10608138 11786820 13687920 14144184 15715760 17680230 21216276 23573640 26520345 28288368 35360460 42432552 47147280 53040690 70720920 84865104 106081380 141441840 212162760 424325520