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4950414 = 2327101389
BaseRepresentation
bin10010111000100110001110
3100022111200200
4102320212032
52231403124
6254034330
760035460
oct22704616
910274620
104950414
112881357
1217a89a6
131044351
1492c130
1567bbc9
hex4b898e

4950414 has 48 divisors (see below), whose sum is σ = 12411360. Its totient is φ = 1396800.

The previous prime is 4950409. The next prime is 4950419. The reversal of 4950414 is 4140594.

It is an interprime number because it is at equal distance from previous prime (4950409) and next prime (4950419).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4950419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12532 + ... + 12920.

It is an arithmetic number, because the mean of its divisors is an integer number (258570).

Almost surely, 24950414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4950414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6205680).

4950414 is an abundant number, since it is smaller than the sum of its proper divisors (7460946).

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

4950414 is a wasteful number, since it uses less digits than its factorization.

4950414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4950414 is about 2224.9525837644. The cubic root of 4950414 is about 170.4304432151.

It can be divided in two parts, 4950 and 414, that multiplied together give a triangular number (2049300 = T2024).

The spelling of 4950414 in words is "four million, nine hundred fifty thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 126 202 303 389 606 707 778 909 1167 1414 1818 2121 2334 2723 3501 4242 5446 6363 7002 8169 12726 16338 24507 39289 49014 78578 117867 235734 275023 353601 550046 707202 825069 1650138 2475207 4950414