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42970176 = 2637307
BaseRepresentation
bin1010001111101…
…0110001000000
32222212010000000
42203322301000
542000021201
64133000000
71031145324
oct243726100
988763000
1042970176
112228a147
1212483000
138b96752
1459c7984
153b8bd86
hex28fac40

42970176 has 112 divisors (see below), whose sum is σ = 128300480. Its totient is φ = 14276736.

The previous prime is 42970159. The next prime is 42970177. The reversal of 42970176 is 67107924.

It is a happy number.

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

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 42970176.

It is not an unprimeable number, because it can be changed into a prime (42970177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139815 + ... + 140121.

It is an arithmetic number, because the mean of its divisors is an integer number (1145540).

Almost surely, 242970176 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 42970176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64150240).

42970176 is an abundant number, since it is smaller than the sum of its proper divisors (85330304).

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

42970176 is an frugal number, since it uses more digits than its factorization.

42970176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 42970176 is about 6555.1640711732. The cubic root of 42970176 is about 350.2587909151.

The spelling of 42970176 in words is "forty-two million, nine hundred seventy thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 307 324 432 486 576 614 648 729 864 921 972 1228 1296 1458 1728 1842 1944 2187 2456 2592 2763 2916 3684 3888 4374 4912 5184 5526 5832 7368 7776 8289 8748 9824 11052 11664 14736 15552 16578 17496 19648 22104 23328 24867 29472 33156 34992 44208 46656 49734 58944 66312 69984 74601 88416 99468 132624 139968 149202 176832 198936 223803 265248 298404 397872 447606 530496 596808 671409 795744 895212 1193616 1342818 1591488 1790424 2387232 2685636 3580848 4774464 5371272 7161696 10742544 14323392 21485088 42970176