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4968012 = 223731771
BaseRepresentation
bin10010111100111001001100
3100100101211110
4102330321030
52232434022
6254252020
760141000
oct22747114
910311743
104968012
1128935a5
1217b7010
13104c36a
14934700
1568200c
hex4bce4c

4968012 has 96 divisors (see below), whose sum is σ = 14515200. Its totient is φ = 1317120.

The previous prime is 4967993. The next prime is 4968017. The reversal of 4968012 is 2108694.

It is a super-2 number, since 2×49680122 = 49362286464288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4968017) 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, 69937 + ... + 70007.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

Almost surely, 24968012 is an apocalyptic number.

4968012 is a gapful number since it is divisible by the number (42) 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 4968012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257600).

4968012 is an abundant number, since it is smaller than the sum of its proper divisors (9547188).

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

4968012 is a wasteful number, since it uses less digits than its factorization.

4968012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 4968012 is about 2228.9037664287. The cubic root of 4968012 is about 170.6321561759.

The spelling of 4968012 in words is "four million, nine hundred sixty-eight thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 71 84 98 102 119 142 147 196 204 213 238 284 294 343 357 426 476 497 588 686 714 833 852 994 1029 1207 1372 1428 1491 1666 1988 2058 2414 2499 2982 3332 3479 3621 4116 4828 4998 5831 5964 6958 7242 8449 9996 10437 11662 13916 14484 16898 17493 20874 23324 24353 25347 33796 34986 41748 48706 50694 59143 69972 73059 97412 101388 118286 146118 177429 236572 292236 354858 414001 709716 828002 1242003 1656004 2484006 4968012