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980476752 = 243233732381
BaseRepresentation
bin111010011100001…
…110001101010000
32112022221101020210
4322130032031100
54002000224002
6241143004120
733203625543
oct7234161520
92468841223
10980476752
114634a9772
12234439640
13128192a78
149430885a
155b12696c
hex3a70e350

980476752 has 80 divisors (see below), whose sum is σ = 2651223168. Its totient is φ = 311646720.

The previous prime is 980476723. The next prime is 980476753. The reversal of 980476752 is 257674089.

It is a super-2 number, since 2×9804767522 = 1922669322424939008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980476753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410602 + ... + 412982.

Almost surely, 2980476752 is an apocalyptic number.

980476752 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 980476752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325611584).

980476752 is an abundant number, since it is smaller than the sum of its proper divisors (1670746416).

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

980476752 is a wasteful number, since it uses less digits than its factorization.

980476752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2788 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 980476752 is about 31312.5654011293. The cubic root of 980476752 is about 993.4494344524.

The spelling of 980476752 in words is "nine hundred eighty million, four hundred seventy-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 373 552 746 1104 1119 1492 2238 2381 2984 4476 4762 5968 7143 8579 8952 9524 14286 17158 17904 19048 25737 28572 34316 38096 51474 54763 57144 68632 102948 109526 114288 137264 164289 205896 219052 328578 411792 438104 657156 876208 888113 1314312 1776226 2628624 2664339 3552452 5328678 7104904 10657356 14209808 20426599 21314712 40853198 42629424 61279797 81706396 122559594 163412792 245119188 326825584 490238376 980476752