Search a number
-
+
980355552 = 253112372281
BaseRepresentation
bin111010011011110…
…000100111100000
32112022201012222220
4322123300213200
54001432334202
6241140231040
733202612311
oct7233604740
92468635886
10980355552
11463426700
1223439b480
1312814c857
14942b6608
155b100abc
hex3a6f09e0

980355552 has 144 divisors (see below), whose sum is σ = 2906373456. Its totient is φ = 288921600.

The previous prime is 980355547. The next prime is 980355553. The reversal of 980355552 is 255553089.

980355552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9803555522 = 1922194016674449408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980355553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 428652 + ... + 430932.

It is an arithmetic number, because the mean of its divisors is an integer number (20183149).

Almost surely, 2980355552 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 980355552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453186728).

980355552 is an abundant number, since it is smaller than the sum of its proper divisors (1926017904).

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

980355552 is a wasteful number, since it uses less digits than its factorization.

980355552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2353 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 42.

The square root of 980355552 is about 31310.6300160185. The cubic root of 980355552 is about 993.4084982334.

The spelling of 980355552 in words is "nine hundred eighty million, three hundred fifty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 66 74 88 96 111 121 132 148 176 222 242 264 296 352 363 407 444 484 528 592 726 814 888 968 1056 1184 1221 1452 1628 1776 1936 2281 2442 2904 3256 3552 3872 4477 4562 4884 5808 6512 6843 8954 9124 9768 11616 13024 13431 13686 17908 18248 19536 25091 26862 27372 35816 36496 39072 50182 53724 54744 71632 72992 75273 84397 100364 107448 109488 143264 150546 168794 200728 214896 218976 253191 276001 301092 337588 401456 429792 506382 552002 602184 675176 802912 828003 928367 1012764 1104004 1204368 1350352 1656006 1856734 2025528 2208008 2408736 2700704 2785101 3312012 3713468 4051056 4416016 5570202 6624024 7426936 8102112 8832032 10212037 11140404 13248048 14853872 20424074 22280808 26496096 29707744 30636111 40848148 44561616 61272222 81696296 89123232 122544444 163392592 245088888 326785184 490177776 980355552