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2976004768 = 2511172112357
BaseRepresentation
bin1011000101100010…
…0011101010100000
321200101212201001211
42301120203222200
522043324123033
61211150035504
7133514423512
oct26130435240
97611781054
102976004768
111297971480
126b07a8b94
13385732789
1420335bbb2
151264042cd
hexb1623aa0

2976004768 has 96 divisors (see below), whose sum is σ = 6802584768. Its totient is φ = 1266585600.

The previous prime is 2976004747. The next prime is 2976004771. The reversal of 2976004768 is 8674006792.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1261446 + ... + 1263802.

It is an arithmetic number, because the mean of its divisors is an integer number (70860258).

Almost surely, 22976004768 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 2976004768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401292384).

2976004768 is an abundant number, since it is smaller than the sum of its proper divisors (3826580000).

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

2976004768 is a wasteful number, since it uses less digits than its factorization.

2976004768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2606 (or 2598 counting only the distinct ones).

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

The square root of 2976004768 is about 54552.7704887662. The cubic root of 2976004768 is about 1438.3940378033.

The spelling of 2976004768 in words is "two billion, nine hundred seventy-six million, four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 211 272 352 374 422 544 748 844 1496 1688 2321 2357 2992 3376 3587 4642 4714 5984 6752 7174 9284 9428 14348 18568 18856 25927 28696 37136 37712 39457 40069 51854 57392 74272 75424 78914 80138 103708 114784 157828 160276 207416 315656 320552 414832 440759 497327 631312 641104 829664 881518 994654 1262624 1282208 1763036 1989308 3526072 3978616 5470597 7052144 7957232 8454559 10941194 14104288 15914464 16909118 21882388 33818236 43764776 67636472 87529552 93000149 135272944 175059104 186000298 270545888 372000596 744001192 1488002384 2976004768