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7242628470 = 23571123136319
BaseRepresentation
bin1101011111011000…
…11011110101110110
3200200202021122110220
412233230123311312
5104313103102340
63154402355210
7344323216620
oct65754336566
920622248426
107242628470
113087302a70
1214a165bb06
138b566729c
144c9c77c10
152c5c93ed0
hex1afb1bd76

7242628470 has 128 divisors (see below), whose sum is σ = 22613852160. Its totient is φ = 1439518080.

The previous prime is 7242628469. The next prime is 7242628501. The reversal of 7242628470 is 748262427.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15030 + ... + 121289.

It is an arithmetic number, because the mean of its divisors is an integer number (176670720).

Almost surely, 27242628470 is an apocalyptic number.

7242628470 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7242628470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11306926080).

7242628470 is an abundant number, since it is smaller than the sum of its proper divisors (15371223690).

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

7242628470 is a wasteful number, since it uses less digits than its factorization.

7242628470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136370.

The product of its (nonzero) digits is 301056, while the sum is 42.

The square root of 7242628470 is about 85103.6337062055. The cubic root of 7242628470 is about 1934.7821373343.

The spelling of 7242628470 in words is "seven billion, two hundred forty-two million, six hundred twenty-eight thousand, four hundred seventy".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 23 30 33 35 42 46 55 66 69 70 77 105 110 115 138 154 161 165 210 230 231 253 322 330 345 385 462 483 506 690 759 770 805 966 1155 1265 1518 1610 1771 2310 2415 2530 3542 3795 4830 5313 7590 8855 10626 17710 26565 53130 136319 272638 408957 681595 817914 954233 1363190 1499509 1908466 2044785 2862699 2999018 3135337 4089570 4498527 4771165 5725398 6270674 7497545 8997054 9406011 9542330 10496563 14313495 14995090 15676685 18812022 20993126 21947359 22492635 28626990 31353370 31489689 34488707 43894718 44985270 47030055 52482815 62979378 65842077 68977414 94060110 103466121 104965630 109736795 131684154 157448445 172443535 206932242 219473590 241420949 314896890 329210385 344887070 482841898 517330605 658420770 724262847 1034661210 1207104745 1448525694 2414209490 3621314235 7242628470