Search a number
-
+
67418496 = 2732431361
BaseRepresentation
bin1000000010010…
…11100110000000
311200212012210100
410001023212000
5114224342441
610405002400
71446022245
oct401134600
9150765710
1067418496
1135068572
121a6b3400
1310c76802
148d4d5cc
155dbacb6
hex404b980

67418496 has 96 divisors (see below), whose sum is σ = 198661320. Its totient is φ = 21934080.

The previous prime is 67418443. The next prime is 67418503. The reversal of 67418496 is 69481476.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48856 + ... + 50216.

Almost surely, 267418496 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 67418496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99330660).

67418496 is an abundant number, since it is smaller than the sum of its proper divisors (131242824).

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

67418496 is a wasteful number, since it uses less digits than its factorization.

67418496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 1409 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 67418496 is about 8210.8766888804. The cubic root of 67418496 is about 406.9986980461.

The spelling of 67418496 in words is "sixty-seven million, four hundred eighteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 258 288 344 384 387 516 576 688 774 1032 1152 1361 1376 1548 2064 2722 2752 3096 4083 4128 5444 5504 6192 8166 8256 10888 12249 12384 16332 16512 21776 24498 24768 32664 43552 48996 49536 58523 65328 87104 97992 117046 130656 174208 175569 195984 234092 261312 351138 391968 468184 522624 526707 702276 783936 936368 1053414 1404552 1567872 1872736 2106828 2809104 3745472 4213656 5618208 7490944 8427312 11236416 16854624 22472832 33709248 67418496