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428219715 = 3571117113193
BaseRepresentation
bin11001100001100…
…001110101000011
31002211202211000110
4121201201311003
51334111012330
6110254122403
713416543660
oct3141416503
91084684013
10428219715
111aa79a8a0
12bb4b0403
136a942161
1440c2ca67
15278d9db0
hex19861d43

428219715 has 128 divisors (see below), whose sum is σ = 917194752. Its totient is φ = 165150720.

The previous prime is 428219677. The next prime is 428219791. The reversal of 428219715 is 517912824.

It is not a de Polignac number, because 428219715 - 29 = 428219203 is a prime.

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 127 ways as a sum of consecutive naturals, for example, 2218659 + ... + 2218851.

It is an arithmetic number, because the mean of its divisors is an integer number (7165584).

Almost surely, 2428219715 is an apocalyptic number.

428219715 is an abundant number, since it is smaller than the sum of its proper divisors (488975037).

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

428219715 is a wasteful number, since it uses less digits than its factorization.

428219715 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349.

The product of its digits is 40320, while the sum is 39.

The square root of 428219715 is about 20693.4703469476. The cubic root of 428219715 is about 753.7411385915.

The spelling of 428219715 in words is "four hundred twenty-eight million, two hundred nineteen thousand, seven hundred fifteen".

Divisors: 1 3 5 7 11 15 17 21 33 35 51 55 77 85 105 113 119 165 187 193 231 255 339 357 385 561 565 579 595 791 935 965 1155 1243 1309 1351 1695 1785 1921 2123 2373 2805 2895 3281 3729 3927 3955 4053 5763 6215 6369 6545 6755 8701 9605 9843 10615 11865 13447 14861 16405 18645 19635 20265 21131 21809 22967 26103 28815 31845 36091 40341 43505 44583 49215 63393 65427 67235 68901 74305 105655 108273 109045 114835 130515 147917 152663 180455 201705 222915 239899 252637 316965 327135 344505 370753 443751 457989 541365 719697 739585 757911 763315 1112259 1199495 1263185 1679293 1853765 2218755 2289945 2595271 3598485 3789555 4078283 5037879 5561295 7785813 8396465 12234849 12976355 20391415 25189395 28547981 38929065 61174245 85643943 142739905 428219715