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4951072 = 25723312
BaseRepresentation
bin10010111000110000100000
3100022112121001
4102320300200
52231413242
6254041344
760040420
oct22706040
910275531
104951072
1128818a5
1217a9254
131044739
1492c480
1567beb7
hex4b8c20

4951072 has 72 divisors (see below), whose sum is σ = 12011328. Its totient is φ = 1964160.

The previous prime is 4951057. The next prime is 4951073. The reversal of 4951072 is 2701594.

It is a happy number.

It is a super-2 number, since 2×49510722 = 49026227898368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 4951072.

It is not an unprimeable number, because it can be changed into a prime (4951073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159697 + ... + 159727.

It is an arithmetic number, because the mean of its divisors is an integer number (166824).

Almost surely, 24951072 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 4951072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6005664).

4951072 is an abundant number, since it is smaller than the sum of its proper divisors (7060256).

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

4951072 is a wasteful number, since it uses less digits than its factorization.

4951072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 4951072 is about 2225.1004471709. The cubic root of 4951072 is about 170.4379939818.

The spelling of 4951072 in words is "four million, nine hundred fifty-one thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 23 28 31 32 46 56 62 92 112 124 161 184 217 224 248 322 368 434 496 644 713 736 868 961 992 1288 1426 1736 1922 2576 2852 3472 3844 4991 5152 5704 6727 6944 7688 9982 11408 13454 15376 19964 22103 22816 26908 30752 39928 44206 53816 79856 88412 107632 154721 159712 176824 215264 309442 353648 618884 707296 1237768 2475536 4951072