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42355460 = 22574147157
BaseRepresentation
bin1010000110010…
…0101100000100
32221200212202202
42201210230010
541320333320
64111454032
71023005210
oct241445404
987625682
1042355460
11219aa314
1212227318
138a0ca04
1458a7940
153ab9b75
hex2864b04

42355460 has 96 divisors (see below), whose sum is σ = 107025408. Its totient is φ = 13777920.

The previous prime is 42355459. The next prime is 42355463. The reversal of 42355460 is 6455324.

It is not an unprimeable number, because it can be changed into a prime (42355463) 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, 269702 + ... + 269858.

It is an arithmetic number, because the mean of its divisors is an integer number (1114848).

Almost surely, 242355460 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 42355460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53512704).

42355460 is an abundant number, since it is smaller than the sum of its proper divisors (64669948).

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

42355460 is a wasteful number, since it uses less digits than its factorization.

42355460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 42355460 is about 6508.1072517284. The cubic root of 42355460 is about 348.5805367080.

The spelling of 42355460 in words is "forty-two million, three hundred fifty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 47 70 82 94 140 157 164 188 205 235 287 314 329 410 470 574 628 658 785 820 940 1099 1148 1316 1435 1570 1645 1927 2198 2870 3140 3290 3854 4396 5495 5740 6437 6580 7379 7708 9635 10990 12874 13489 14758 19270 21980 25748 26978 29516 32185 36895 38540 45059 51653 53956 64370 67445 73790 90118 103306 128740 134890 147580 180236 206612 225295 258265 269780 302539 450590 516530 605078 901180 1033060 1210156 1512695 2117773 3025390 4235546 6050780 8471092 10588865 21177730 42355460