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4950624 = 253753139
BaseRepresentation
bin10010111000101001100000
3100022111222110
4102320221200
52231404444
6254035320
760036210
oct22705140
910274873
104950624
112881528
1217a8b40
131044483
1492c240
1567bcb9
hex4b8a60

4950624 has 96 divisors (see below), whose sum is σ = 15240960. Its totient is φ = 1377792.

The previous prime is 4950623. The next prime is 4950629. The reversal of 4950624 is 4260594.

It is a Cunningham number, because it is equal to 22252-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4950591 and 4950600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4950623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35547 + ... + 35685.

It is an arithmetic number, because the mean of its divisors is an integer number (158760).

Almost surely, 24950624 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 4950624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7620480).

4950624 is an abundant number, since it is smaller than the sum of its proper divisors (10290336).

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

4950624 is a wasteful number, since it uses less digits than its factorization.

4950624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 4950624 is about 2224.9997752809. Note that the first 3 decimals coincide. The cubic root of 4950624 is about 170.4328531070.

Subtracting from 4950624 its sum of digits (30), we obtain a palindrome (4950594).

The spelling of 4950624 in words is "four million, nine hundred fifty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 84 96 106 112 139 159 168 212 224 278 318 336 371 417 424 556 636 672 742 834 848 973 1112 1113 1272 1484 1668 1696 1946 2224 2226 2544 2919 2968 3336 3892 4448 4452 5088 5838 5936 6672 7367 7784 8904 11676 11872 13344 14734 15568 17808 22101 23352 29468 31136 35616 44202 46704 51569 58936 88404 93408 103138 117872 154707 176808 206276 235744 309414 353616 412552 618828 707232 825104 1237656 1650208 2475312 4950624