Search a number
-
+
147493528 = 237213103281
BaseRepresentation
bin10001100101010…
…01001010011000
3101021112110002021
420302221022120
5300224243103
622345144224
73440450200
oct1062511230
9337473067
10147493528
1176290086
124148b074
13247320a0
1415835400
15ce36bbd
hex8ca9298

147493528 has 96 divisors (see below), whose sum is σ = 351056160. Its totient is φ = 57576960.

The previous prime is 147493517. The next prime is 147493529. The reversal of 147493528 is 825394741.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147493529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 524748 + ... + 525028.

It is an arithmetic number, because the mean of its divisors is an integer number (3656835).

Almost surely, 2147493528 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 147493528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175528080).

147493528 is an abundant number, since it is smaller than the sum of its proper divisors (203562632).

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

147493528 is a wasteful number, since it uses less digits than its factorization.

147493528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 406 counting only the distinct ones).

The product of its digits is 241920, while the sum is 43.

The square root of 147493528 is about 12144.6913505449. The cubic root of 147493528 is about 528.3531747157.

The spelling of 147493528 in words is "one hundred forty-seven million, four hundred ninety-three thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 103 104 182 196 206 281 364 392 412 562 637 721 728 824 1124 1274 1339 1442 1967 2248 2548 2678 2884 3653 3934 5047 5096 5356 5768 7306 7868 9373 10094 10712 13769 14612 15736 18746 20188 25571 27538 28943 29224 37492 40376 51142 55076 57886 65611 74984 102284 110152 115772 131222 178997 202601 204568 231544 262444 357994 376259 405202 524888 715988 752518 810404 1418207 1431976 1505036 1620808 2633813 2836414 3010072 5267626 5672828 10535252 11345656 18436691 21070504 36873382 73746764 147493528