Search a number
-
+
981341552 = 24233712
BaseRepresentation
bin111010011111100…
…001010101110000
32112101120022112102
4322133201111300
54002210412202
6241213315532
733214160042
oct7237412560
92471508472
10981341552
11463a3a484
12234795ba8
13128406599
1494491a92
155b247d02
hex3a7e1570

981341552 has 60 divisors (see below), whose sum is σ = 2016158160. Its totient is φ = 462726880.

The previous prime is 981341539. The next prime is 981341561. The reversal of 981341552 is 255143189.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

Its product of digits (43200) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13821677 + ... + 13821747.

It is an arithmetic number, because the mean of its divisors is an integer number (33602636).

Almost surely, 2981341552 is an apocalyptic number.

981341552 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 981341552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008079080).

981341552 is an abundant number, since it is smaller than the sum of its proper divisors (1034816608).

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

981341552 is an frugal number, since it uses more digits than its factorization.

981341552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 96 counting only the distinct ones).

The product of its digits is 43200, while the sum is 38.

The square root of 981341552 is about 31326.3715102787. The cubic root of 981341552 is about 993.7414293421.

The spelling of 981341552 in words is "nine hundred eighty-one million, three hundred forty-one thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 23 46 71 92 142 184 284 368 529 568 1058 1136 1633 2116 3266 4232 5041 6532 8464 10082 12167 13064 20164 24334 26128 37559 40328 48668 75118 80656 97336 115943 150236 194672 231886 300472 463772 600944 863857 927544 1727714 1855088 2666689 3455428 5333378 6910856 10666756 13821712 21333512 42667024 61333847 122667694 245335388 490670776 981341552