Search a number
-
+
4950336 = 263192359
BaseRepresentation
bin10010111000100101000000
3100022111120210
4102320211000
52231402321
6254034120
760035316
oct22704500
910274523
104950336
112881296
1217a8940
1310442c1
1492c0b6
1567bb76
hex4b8940

4950336 has 112 divisors (see below), whose sum is σ = 14630400. Its totient is φ = 1469952.

The previous prime is 4950331. The next prime is 4950343. The reversal of 4950336 is 6330594.

It is a happy number.

4950336 is nontrivially palindromic in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4950331) 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, 83875 + ... + 83933.

Almost surely, 24950336 is an apocalyptic number.

4950336 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 4950336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7315200).

4950336 is an abundant number, since it is smaller than the sum of its proper divisors (9680064).

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

4950336 is a wasteful number, since it uses less digits than its factorization.

4950336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 4950336 is about 2224.9350552319. The cubic root of 4950336 is about 170.4295480951.

The spelling of 4950336 in words is "four million, nine hundred fifty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 59 64 69 76 92 96 114 118 138 152 177 184 192 228 236 276 304 354 368 437 456 472 552 608 708 736 874 912 944 1104 1121 1216 1311 1357 1416 1472 1748 1824 1888 2208 2242 2622 2714 2832 3363 3496 3648 3776 4071 4416 4484 5244 5428 5664 6726 6992 8142 8968 10488 10856 11328 13452 13984 16284 17936 20976 21712 25783 26904 27968 32568 35872 41952 43424 51566 53808 65136 71744 77349 83904 86848 103132 107616 130272 154698 206264 215232 260544 309396 412528 618792 825056 1237584 1650112 2475168 4950336