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4912820976 = 2437233120507
BaseRepresentation
bin1001001001101001…
…11011001011110000
3110200101100011102110
410210310323023300
540030140232401
62131254445320
7232513201140
oct44464731360
913611304373
104912820976
1120a1183128
12b51363840
13603a8697b
1434868a920
151db4859d6
hex124d3b2f0

4912820976 has 160 divisors (see below), whose sum is σ = 15624142848. Its totient is φ = 1299260160.

The previous prime is 4912820971. The next prime is 4912820977. The reversal of 4912820976 is 6790282194.

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 (4912820971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229315 + ... + 249821.

Almost surely, 24912820976 is an apocalyptic number.

4912820976 is a gapful number since it is divisible by the number (46) 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 4912820976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7812071424).

4912820976 is an abundant number, since it is smaller than the sum of its proper divisors (10711321872).

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

4912820976 is a wasteful number, since it uses less digits than its factorization.

4912820976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20579 (or 20573 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 4912820976 is about 70091.5185739330. The cubic root of 4912820976 is about 1699.9793510756.

The spelling of 4912820976 in words is "four billion, nine hundred twelve million, eight hundred twenty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 31 42 46 48 56 62 69 84 92 93 112 124 138 161 168 184 186 217 248 276 322 336 368 372 434 483 496 552 644 651 713 744 868 966 1104 1288 1302 1426 1488 1736 1932 2139 2576 2604 2852 3472 3864 4278 4991 5208 5704 7728 8556 9982 10416 11408 14973 17112 19964 20507 29946 34224 39928 41014 59892 61521 79856 82028 119784 123042 143549 164056 239568 246084 287098 328112 430647 471661 492168 574196 635717 861294 943322 984336 1148392 1271434 1414983 1722588 1886644 1907151 2296784 2542868 2829966 3301627 3445176 3773288 3814302 4450019 5085736 5659932 6603254 6890352 7546576 7628604 8900038 9904881 10171472 11319864 13206508 13350057 14621491 15257208 17800076 19809762 22639728 26413016 26700114 29242982 30514416 35600152 39619524 43864473 52826032 53400228 58485964 71200304 79239048 87728946 102350437 106800456 116971928 158478096 175457892 204700874 213600912 233943856 307051311 350915784 409401748 614102622 701831568 818803496 1228205244 1637606992 2456410488 4912820976