Search a number
-
+
4990054950 = 233523799901
BaseRepresentation
bin1001010010110111…
…00011001000100110
3110212202200001112000
410221123203020212
540204423224300
62143054110130
7234441524106
oct45133431046
913782601460
104990054950
112130835161
12b731ab346
13616a8904a
14354a33206
151e313ec00
hex1296e3226

4990054950 has 96 divisors (see below), whose sum is σ = 14122146720. Its totient is φ = 1294704000.

The previous prime is 4990054939. The next prime is 4990054961. The reversal of 4990054950 is 594500994.

4990054950 is a nontrivial binomial coefficient, being equal to C(99901, 2).

It is an interprime number because it is at equal distance from previous prime (4990054939) and next prime (4990054961).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 4990054896 and 4990054905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1 + ... + 99900.

It is an arithmetic number, because the mean of its divisors is an integer number (147105695).

Almost surely, 24990054950 is an apocalyptic number.

4990054950 is the 99900-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4990054950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7061073360).

4990054950 is an abundant number, since it is smaller than the sum of its proper divisors (9132091770).

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

4990054950 is a wasteful number, since it uses less digits than its factorization.

4990054950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99959 (or 99948 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 4990054950 is about 70640.3209930419. The cubic root of 4990054950 is about 1708.8414744325.

The spelling of 4990054950 in words is "four billion, nine hundred ninety million, fifty-four thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 37 45 50 54 74 75 90 111 135 150 185 222 225 270 333 370 450 555 666 675 925 999 1110 1350 1665 1850 1998 2775 3330 4995 5550 8325 9990 16650 24975 49950 99901 199802 299703 499505 599406 899109 999010 1498515 1798218 2497525 2697327 2997030 3696337 4495545 4995050 5394654 7392674 7492575 8991090 11089011 13486635 14985150 18481685 22178022 22477725 26973270 33267033 36963370 44955450 55445055 66534066 67433175 92408425 99801099 110890110 134866350 166335165 184816850 199602198 277225275 332670330 499005495 554450550 831675825 998010990 1663351650 2495027475 4990054950