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42464660 = 2257535997
BaseRepresentation
bin1010000111111…
…1010110010100
32221220102120012
42201333112110
541332332120
64114055352
71023641450
oct241772624
987812505
1042464660
1121a74367
121227a558
138a4a624
1458d5660
153adc1c5
hex287f594

42464660 has 96 divisors (see below), whose sum is σ = 106686720. Its totient is φ = 13897728.

The previous prime is 42464629. The next prime is 42464683. The reversal of 42464660 is 6646424.

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, 437732 + ... + 437828.

It is an arithmetic number, because the mean of its divisors is an integer number (1111320).

Almost surely, 242464660 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 42464660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53343360).

42464660 is an abundant number, since it is smaller than the sum of its proper divisors (64222060).

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

42464660 is a wasteful number, since it uses less digits than its factorization.

42464660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 42464660 is about 6516.4913872421. The cubic root of 42464660 is about 348.8798474193.

The spelling of 42464660 in words is "forty-two million, four hundred sixty-four thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 59 70 97 106 118 140 194 212 236 265 295 371 388 413 485 530 590 679 742 826 970 1060 1180 1358 1484 1652 1855 1940 2065 2716 3127 3395 3710 4130 5141 5723 6254 6790 7420 8260 10282 11446 12508 13580 15635 20564 21889 22892 25705 28615 31270 35987 40061 43778 51410 57230 62540 71974 80122 87556 102820 109445 114460 143948 160244 179935 200305 218890 303319 359870 400610 437780 606638 719740 801220 1213276 1516595 2123233 3033190 4246466 6066380 8492932 10616165 21232330 42464660