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426641520 = 243517531973
BaseRepresentation
bin11001011011100…
…000100001110000
31002201210122010210
4121123200201300
51333210012040
6110200224120
713400251554
oct3133404160
91081718123
10426641520
111a99120a8
12baa6b040
136a50ba06
144093b864
15276c7480
hex196e0870

426641520 has 160 divisors (see below), whose sum is σ = 1427533632. Its totient is φ = 105005056.

The previous prime is 426641519. The next prime is 426641539. The reversal of 426641520 is 25146624.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215254 + ... + 217226.

Almost surely, 2426641520 is an apocalyptic number.

426641520 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 426641520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713766816).

426641520 is an abundant number, since it is smaller than the sum of its proper divisors (1000892112).

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

426641520 is a wasteful number, since it uses less digits than its factorization.

426641520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 426641520 is about 20655.3024669212. The cubic root of 426641520 is about 752.8140328647.

The spelling of 426641520 in words is "four hundred twenty-six million, six hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 53 60 68 80 85 102 106 120 136 159 170 204 212 240 255 265 272 318 340 408 424 510 530 636 680 795 816 848 901 1020 1060 1272 1360 1590 1802 1973 2040 2120 2544 2703 3180 3604 3946 4080 4240 4505 5406 5919 6360 7208 7892 9010 9865 10812 11838 12720 13515 14416 15784 18020 19730 21624 23676 27030 29595 31568 33541 36040 39460 43248 47352 54060 59190 67082 72080 78920 94704 100623 104569 108120 118380 134164 157840 167705 201246 209138 216240 236760 268328 313707 335410 402492 418276 473520 503115 522845 536656 627414 670820 804984 836552 1006230 1045690 1254828 1341640 1568535 1609968 1673104 1777673 2012460 2091380 2509656 2683280 3137070 3555346 4024920 4182760 5019312 5333019 6274140 7110692 8049840 8365520 8888365 10666038 12548280 14221384 17776730 21332076 25096560 26665095 28442768 35553460 42664152 53330190 71106920 85328304 106660380 142213840 213320760 426641520