Search a number
-
+
67442544 = 2434134003
BaseRepresentation
bin1000000010100…
…01011101110000
311200220102210000
410001101131300
5114231130134
610405310000
71446152331
oct401213560
9150812700
1067442544
1135084644
121a705300
1310c84740
148d58288
155dc2e99
hex4051770

67442544 has 100 divisors (see below), whose sum is σ = 210266056. Its totient is φ = 20746368.

The previous prime is 67442521. The next prime is 67442567. The reversal of 67442544 is 44524476.

67442544 is a `hidden beast` number, since 6 + 74 + 42 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (67442521) and next prime (67442567).

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

It is a junction number, because it is equal to n+sod(n) for n = 67442499 and 67442508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14847 + ... + 18849.

Almost surely, 267442544 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 67442544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105133028).

67442544 is an abundant number, since it is smaller than the sum of its proper divisors (142823512).

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

67442544 is a wasteful number, since it uses less digits than its factorization.

67442544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4036 (or 4021 counting only the distinct ones).

The product of its digits is 107520, while the sum is 36.

The square root of 67442544 is about 8212.3409573641. The cubic root of 67442544 is about 407.0470840815.

The spelling of 67442544 in words is "sixty-seven million, four hundred forty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4003 4212 5616 8006 8424 12009 16012 16848 24018 32024 36027 48036 52039 64048 72054 96072 104078 108081 144108 156117 192144 208156 216162 288216 312234 324243 416312 432324 468351 576432 624468 648486 832624 864648 936702 1248936 1296972 1405053 1729296 1873404 2497872 2593944 2810106 3746808 4215159 5187888 5620212 7493616 8430318 11240424 16860636 22480848 33721272 67442544