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42219060 = 223513113479
BaseRepresentation
bin1010000100001…
…1011000110100
32221102221122220
42201003120310
541302002220
64104522340
71021566432
oct241033064
987387586
1042219060
1121916894
12121803b0
1389928c0
14586dd52
153a8e540
hex2843634

42219060 has 96 divisors (see below), whose sum is σ = 128701440. Its totient is φ = 10278912.

The previous prime is 42219059. The next prime is 42219061. The reversal of 42219060 is 6091224.

It is an interprime number because it is at equal distance from previous prime (42219059) and next prime (42219061).

It is a self number, because there is not a number n which added to its sum of digits gives 42219060.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42219061) 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, 87901 + ... + 88379.

It is an arithmetic number, because the mean of its divisors is an integer number (1340640).

Almost surely, 242219060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42219060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64350720).

42219060 is an abundant number, since it is smaller than the sum of its proper divisors (86482380).

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

42219060 is a wasteful number, since it uses less digits than its factorization.

42219060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 42219060 is about 6497.6195641173. The cubic root of 42219060 is about 348.2059489091.

The spelling of 42219060 in words is "forty-two million, two hundred nineteen thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 113 130 156 195 226 260 339 390 452 479 565 678 780 958 1130 1356 1437 1469 1695 1916 2260 2395 2874 2938 3390 4407 4790 5748 5876 6227 6780 7185 7345 8814 9580 12454 14370 14690 17628 18681 22035 24908 28740 29380 31135 37362 44070 54127 62270 74724 88140 93405 108254 124540 162381 186810 216508 270635 324762 373620 541270 649524 703651 811905 1082540 1407302 1623810 2110953 2814604 3247620 3518255 4221906 7036510 8443812 10554765 14073020 21109530 42219060