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42455880 = 23335192069
BaseRepresentation
bin1010000111110…
…1001101001000
32221212222112000
42201331031020
541332042010
64113551000
71023604035
oct241751510
987788460
1042455880
1121a68805
1212275460
138a4662c
1458d238c
153ad97c0
hex287d348

42455880 has 128 divisors (see below), whose sum is σ = 149040000. Its totient is φ = 10720512.

The previous prime is 42455873. The next prime is 42455887. The reversal of 42455880 is 8855424.

42455880 is a `hidden beast` number, since 4 + 24 + 558 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (42455873) and next prime (42455887).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42455887) 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, 19486 + ... + 21554.

It is an arithmetic number, because the mean of its divisors is an integer number (1164375).

Almost surely, 242455880 is an apocalyptic number.

42455880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42455880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74520000).

42455880 is an abundant number, since it is smaller than the sum of its proper divisors (106584120).

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

42455880 is a wasteful number, since it uses less digits than its factorization.

42455880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 42455880 is about 6515.8176770072. The cubic root of 42455880 is about 348.8558009440.

The spelling of 42455880 in words is "forty-two million, four hundred fifty-five thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 285 342 360 380 456 513 540 570 684 760 855 1026 1080 1140 1368 1710 2052 2069 2280 2565 3420 4104 4138 5130 6207 6840 8276 10260 10345 12414 16552 18621 20520 20690 24828 31035 37242 39311 41380 49656 55863 62070 74484 78622 82760 93105 111726 117933 124140 148968 157244 186210 196555 223452 235866 248280 279315 314488 353799 372420 393110 446904 471732 558630 589665 707598 744840 786220 943464 1061397 1117260 1179330 1415196 1572440 1768995 2122794 2234520 2358660 2830392 3537990 4245588 4717320 5306985 7075980 8491176 10613970 14151960 21227940 42455880