Search a number
-
+
42971360 = 2552311677
BaseRepresentation
bin1010001111101…
…1000011100000
32222212011121212
42203323003200
542000040420
64133005252
71031151635
oct243730340
988764555
1042971360
1122290023
1212483828
138b97153
1459c818c
153b8c3c5
hex28fb0e0

42971360 has 48 divisors (see below), whose sum is σ = 105942816. Its totient is φ = 16439808.

The previous prime is 42971347. The next prime is 42971381. The reversal of 42971360 is 6317924.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2159 + ... + 9518.

It is an arithmetic number, because the mean of its divisors is an integer number (2207142).

Almost surely, 242971360 is an apocalyptic number.

42971360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42971360 is an abundant number, since it is smaller than the sum of its proper divisors (62971456).

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

42971360 is a wasteful number, since it uses less digits than its factorization.

42971360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11715 (or 11707 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 42971360 is about 6555.2543810290. The cubic root of 42971360 is about 350.2620078952.

The spelling of 42971360 in words is "forty-two million, nine hundred seventy-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 11677 23354 46708 58385 93416 116770 186832 233540 268571 373664 467080 537142 934160 1074284 1342855 1868320 2148568 2685710 4297136 5371420 8594272 10742840 21485680 42971360