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976672048 = 241119973011
BaseRepresentation
bin111010001101101…
…101010100110000
32112001210002011211
4322031231110300
54000012001143
6240525245504
733126401242
oct7215552460
92461702154
10976672048
11461340190
12233103894
13127460071
14939d8092
155ab2449d
hex3a36d530

976672048 has 80 divisors (see below), whose sum is σ = 2196109440. Its totient is φ = 416102400.

The previous prime is 976672033. The next prime is 976672051. The reversal of 976672048 is 840276679.

976672048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 976671992 and 976672010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322863 + ... + 325873.

It is an arithmetic number, because the mean of its divisors is an integer number (27451368).

Almost surely, 2976672048 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 976672048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098054720).

976672048 is an abundant number, since it is smaller than the sum of its proper divisors (1219437392).

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

976672048 is a wasteful number, since it uses less digits than its factorization.

976672048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3146 (or 3140 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 49.

The square root of 976672048 is about 31251.7527188476. The cubic root of 976672048 is about 992.1627540366.

The spelling of 976672048 in words is "nine hundred seventy-six million, six hundred seventy-two thousand, forty-eight".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 97 152 176 194 209 304 388 418 776 836 1067 1552 1672 1843 2134 3011 3344 3686 4268 6022 7372 8536 12044 14744 17072 20273 24088 29488 33121 40546 48176 57209 66242 81092 114418 132484 162184 228836 264968 292067 324368 457672 529936 584134 629299 915344 1168268 1258598 2336536 2517196 3212737 4673072 5034392 5549273 6425474 10068784 11098546 12850948 22197092 25701896 44394184 51403792 61042003 88788368 122084006 244168012 488336024 976672048