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42368976 = 24321321741
BaseRepresentation
bin1010000110011…
…1111111010000
32221201120022100
42201213333100
541321301401
64112040400
71023062466
oct241477720
987646270
1042368976
1121a09491
1212233100
138a15c00
1458ac836
153abdb86
hex2867fd0

42368976 has 90 divisors (see below), whose sum is σ = 128470758. Its totient is φ = 13029120.

The previous prime is 42368951. The next prime is 42368983. The reversal of 42368976 is 67986324.

It can be written as a sum of positive squares in 3 ways, for example, as 5645376 + 36723600 = 2376^2 + 6060^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23466 + ... + 25206.

Almost surely, 242368976 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 42368976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64235379).

42368976 is an abundant number, since it is smaller than the sum of its proper divisors (86101782).

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

42368976 is a wasteful number, since it uses less digits than its factorization.

42368976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781 (or 1759 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 42368976 is about 6509.1455660478. The cubic root of 42368976 is about 348.6176111369.

The spelling of 42368976 in words is "forty-two million, three hundred sixty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1741 1872 2028 2704 3042 3482 4056 5223 6084 6964 8112 10446 12168 13928 15669 20892 22633 24336 27856 31338 41784 45266 62676 67899 83568 90532 125352 135798 181064 203697 250704 271596 294229 362128 407394 543192 588458 814788 882687 1086384 1176916 1629576 1765374 2353832 2648061 3259152 3530748 4707664 5296122 7061496 10592244 14122992 21184488 42368976