Search a number
-
+
948252132 = 2232374431607
BaseRepresentation
bin111000100001010…
…010110111100100
32110002022012101100
4320201102313210
53420223032012
6234032200100
732333003322
oct7041226744
92402265340
10948252132
11447299953
12225699030
131215bc349
148dd1ad12
15583ad8dc
hex38852de4

948252132 has 72 divisors (see below), whose sum is σ = 2468846016. Its totient is φ = 306656064.

The previous prime is 948252113. The next prime is 948252157. The reversal of 948252132 is 231252849.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 589273 + ... + 590879.

It is an arithmetic number, because the mean of its divisors is an integer number (34289528).

Almost surely, 2948252132 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 948252132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234423008).

948252132 is an abundant number, since it is smaller than the sum of its proper divisors (1520593884).

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

948252132 is a wasteful number, since it uses less digits than its factorization.

948252132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097 (or 2092 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 948252132 is about 30793.7027978124. The cubic root of 948252132 is about 982.4443120545. Note that the first 3 decimals are identical.

The spelling of 948252132 in words is "nine hundred forty-eight million, two hundred fifty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 443 444 666 886 1329 1332 1607 1772 2658 3214 3987 4821 5316 6428 7974 9642 14463 15948 16391 19284 28926 32782 49173 57852 59459 65564 98346 118918 147519 178377 196692 237836 295038 356754 535131 590076 711901 713508 1070262 1423802 2135703 2140524 2847604 4271406 6407109 8542812 12814218 25628436 26340337 52680674 79021011 105361348 158042022 237063033 316084044 474126066 948252132