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42974064 = 243571579
BaseRepresentation
bin1010001111101…
…1101101110000
32222212022100000
42203323231300
542000132224
64133030000
71031162550
oct243735560
988768300
1042974064
1122292061
1212485300
138b98453
1459c9160
153b8d0c9
hex28fbb70

42974064 has 120 divisors (see below), whose sum is σ = 142629760. Its totient is φ = 12270528.

The previous prime is 42974047. The next prime is 42974069. The reversal of 42974064 is 46047924.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42974069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26427 + ... + 28005.

Almost surely, 242974064 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 42974064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71314880).

42974064 is an abundant number, since it is smaller than the sum of its proper divisors (99655696).

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

42974064 is a wasteful number, since it uses less digits than its factorization.

42974064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 42974064 is about 6555.4606245481. The cubic root of 42974064 is about 350.2693545605.

The spelling of 42974064 in words is "forty-two million, nine hundred seventy-four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 756 972 1008 1134 1296 1512 1579 1701 1944 2268 3024 3158 3402 3888 4536 4737 6316 6804 9072 9474 11053 12632 13608 14211 18948 22106 25264 27216 28422 33159 37896 42633 44212 56844 66318 75792 85266 88424 99477 113688 127899 132636 170532 176848 198954 227376 255798 265272 298431 341064 383697 397908 511596 530544 596862 682128 767394 795816 895293 1023192 1193724 1534788 1591632 1790586 2046384 2387448 2685879 3069576 3581172 4774896 5371758 6139152 7162344 10743516 14324688 21487032 42974064