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642419715 = 357173771137
BaseRepresentation
bin100110010010101…
…000110000000011
31122202211022011210
4212102220300003
52303424412330
6143425141203
721630322530
oct4622506003
91582738153
10642419715
112aa6a1493
1215b18a803
13a312b912
1461469d87
153b5eb8b0
hex264a8c03

642419715 has 128 divisors (see below), whose sum is σ = 1304875008. Its totient is φ = 263208960.

The previous prime is 642419689. The next prime is 642419717. The reversal of 642419715 is 517914246.

It is a Cunningham number, because it is equal to 253462-1.

It is not a de Polignac number, because 642419715 - 27 = 642419587 is a prime.

It is not an unprimeable number, because it can be changed into a prime (642419717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4689127 + ... + 4689263.

It is an arithmetic number, because the mean of its divisors is an integer number (10194336).

Almost surely, 2642419715 is an apocalyptic number.

642419715 is an abundant number, since it is smaller than the sum of its proper divisors (662455293).

642419715 is a wasteful number, since it uses less digits than its factorization.

642419715 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277.

The product of its digits is 60480, while the sum is 39.

The square root of 642419715 is about 25345.9999802730. Note that the first 4 decimals coincide. The cubic root of 642419715 is about 862.8585763824.

The spelling of 642419715 in words is "six hundred forty-two million, four hundred nineteen thousand, seven hundred fifteen".

Divisors: 1 3 5 7 15 17 21 35 37 51 71 85 105 111 119 137 185 213 255 259 355 357 411 497 555 595 629 685 777 959 1065 1207 1295 1491 1785 1887 2055 2329 2485 2627 2877 3145 3621 3885 4403 4795 5069 6035 6987 7455 7881 8449 9435 9727 11645 13135 13209 14385 15207 16303 18105 18389 22015 25345 25347 29181 34935 35483 39405 42245 44659 48635 48909 55167 66045 68089 76035 81515 86173 91945 106449 126735 133977 145905 165359 177415 204267 223295 244545 258519 275835 312613 340445 359899 430865 496077 532245 603211 669885 826795 937839 1021335 1079697 1157513 1292595 1563065 1799495 1809633 2480385 2519293 3016055 3472539 4689195 5398485 5787565 6118283 7557879 9048165 12596465 17362695 18354849 30591415 37789395 42827981 91774245 128483943 214139905 642419715