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42455280 = 2435737683
BaseRepresentation
bin1010000111110…
…1000011110000
32221212221200210
42201331003300
541332032110
64113544120
71023602220
oct241750360
987787623
1042455280
1121a6830a
1212275040
138a4628a
1458d2080
153ad9520
hex287d0f0

42455280 has 160 divisors (see below), whose sum is σ = 154704384. Its totient is φ = 9427968.

The previous prime is 42455269. The next prime is 42455293. The reversal of 42455280 is 8255424.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 61819 + ... + 62501.

Almost surely, 242455280 is an apocalyptic number.

42455280 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 42455280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77352192).

42455280 is an abundant number, since it is smaller than the sum of its proper divisors (112249104).

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

42455280 is a wasteful number, since it uses less digits than its factorization.

42455280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 42455280 is about 6515.7716350406. The cubic root of 42455280 is about 348.8541575559.

The spelling of 42455280 in words is "forty-two million, four hundred fifty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 37 40 42 48 56 60 70 74 80 84 105 111 112 120 140 148 168 185 210 222 240 259 280 296 336 370 420 444 518 555 560 592 683 740 777 840 888 1036 1110 1295 1366 1480 1554 1680 1776 2049 2072 2220 2590 2732 2960 3108 3415 3885 4098 4144 4440 4781 5180 5464 6216 6830 7770 8196 8880 9562 10245 10360 10928 12432 13660 14343 15540 16392 19124 20490 20720 23905 25271 27320 28686 31080 32784 38248 40980 47810 50542 54640 57372 62160 71715 75813 76496 81960 95620 101084 114744 126355 143430 151626 163920 176897 191240 202168 229488 252710 286860 303252 353794 379065 382480 404336 505420 530691 573720 606504 707588 758130 884485 1010840 1061382 1147440 1213008 1415176 1516260 1768970 2021680 2122764 2653455 2830352 3032520 3537940 4245528 5306910 6065040 7075880 8491056 10613820 14151760 21227640 42455280