Search a number
-
+
5146235484 = 22313294724203
BaseRepresentation
bin1001100101011110…
…10101001001011100
3111021122112211221020
410302233111021130
541014414013414
62210353404140
7241346164665
oct46257251134
914248484836
105146235484
112200a08985
12bb7569650
13640240170
1436b68a36c
15201be07a9
hex132bd525c

5146235484 has 96 divisors (see below), whose sum is σ = 13662673920. Its totient is φ = 1496264448.

The previous prime is 5146235483. The next prime is 5146235543. The reversal of 5146235484 is 4845326415.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5146235483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200527 + ... + 224729.

It is an arithmetic number, because the mean of its divisors is an integer number (142319520).

Almost surely, 25146235484 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 5146235484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6831336960).

5146235484 is an abundant number, since it is smaller than the sum of its proper divisors (8516438436).

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

5146235484 is a wasteful number, since it uses less digits than its factorization.

5146235484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24299 (or 24297 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The square root of 5146235484 is about 71737.2670513730. The cubic root of 5146235484 is about 1726.4866253510.

The spelling of 5146235484 in words is "five billion, one hundred forty-six million, two hundred thirty-five thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 12 13 26 29 39 47 52 58 78 87 94 116 141 156 174 188 282 348 377 564 611 754 1131 1222 1363 1508 1833 2262 2444 2726 3666 4089 4524 5452 7332 8178 16356 17719 24203 35438 48406 53157 70876 72609 96812 106314 145218 212628 290436 314639 629278 701887 943917 1137541 1258556 1403774 1887834 2105661 2275082 2807548 3412623 3775668 4211322 4550164 6825246 8422644 9124531 13650492 14788033 18249062 27373593 29576066 32988689 36498124 44364099 54747186 59152132 65977378 88728198 98966067 109494372 131954756 177456396 197932134 395864268 428852957 857705914 1286558871 1715411828 2573117742 5146235484