Search a number
-
+
67031552 = 29759317
BaseRepresentation
bin1111111110110…
…1001000000000
311200010120000002
43333231020000
5114130002202
610352415132
71442521160
oct377551000
9150116002
1067031552
1134923885
121a5474a8
1310b6c653
148c8c5a0
155d41302
hex3fed200

67031552 has 80 divisors (see below), whose sum is σ = 156150720. Its totient is φ = 28151808.

The previous prime is 67031551. The next prime is 67031623. The reversal of 67031552 is 25513076.

67031552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (67031551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211298 + ... + 211614.

It is an arithmetic number, because the mean of its divisors is an integer number (1951884).

Almost surely, 267031552 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 67031552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78075360).

67031552 is an abundant number, since it is smaller than the sum of its proper divisors (89119168).

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

67031552 is an equidigital number, since it uses as much as digits as its factorization.

67031552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 67031552 is about 8187.2798901711. The cubic root of 67031552 is about 406.2185562409.

The spelling of 67031552 in words is "sixty-seven million, thirty-one thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 112 118 128 224 236 256 317 413 448 472 512 634 826 896 944 1268 1652 1792 1888 2219 2536 3304 3584 3776 4438 5072 6608 7552 8876 10144 13216 15104 17752 18703 20288 26432 30208 35504 37406 40576 52864 71008 74812 81152 105728 130921 142016 149624 162304 211456 261842 284032 299248 523684 568064 598496 1047368 1136128 1196992 2094736 2393984 4189472 4787968 8378944 9575936 16757888 33515776 67031552