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42745360 = 2457372063
BaseRepresentation
bin1010001100001…
…1111000010000
32222102200121111
42203003320100
541420322420
64124103104
71026221020
oct243037020
988380544
1042745360
1122146249
1212394a94
138b18318
145969a80
153b4545a
hex28c3e10

42745360 has 80 divisors (see below), whose sum is σ = 116706816. Its totient is φ = 14252544.

The previous prime is 42745357. The next prime is 42745433. The reversal of 42745360 is 6354724.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19689 + ... + 21751.

Almost surely, 242745360 is an apocalyptic number.

42745360 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 42745360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58353408).

42745360 is an abundant number, since it is smaller than the sum of its proper divisors (73961456).

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

42745360 is a wasteful number, since it uses less digits than its factorization.

42745360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 42745360 is about 6537.9935760140. The cubic root of 42745360 is about 349.6468819512.

The spelling of 42745360 in words is "forty-two million, seven hundred forty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 56 70 74 80 112 140 148 185 259 280 296 370 518 560 592 740 1036 1295 1480 2063 2072 2590 2960 4126 4144 5180 8252 10315 10360 14441 16504 20630 20720 28882 33008 41260 57764 72205 76331 82520 115528 144410 152662 165040 231056 288820 305324 381655 534317 577640 610648 763310 1068634 1155280 1221296 1526620 2137268 2671585 3053240 4274536 5343170 6106480 8549072 10686340 21372680 42745360