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2939409954 = 2321318169401
BaseRepresentation
bin1010111100110011…
…1101011000100010
321120212000111102100
42233030331120202
522004442104304
61203401431230
7132561400215
oct25714753042
97525014370
102939409954
111279247228
126a049b516
1337ac8bb40
141dc55377c
151230c6439
hexaf33d622

2939409954 has 48 divisors (see below), whose sum is σ = 6896615544. Its totient is φ = 899424000.

The previous prime is 2939409943. The next prime is 2939409961. The reversal of 2939409954 is 4599049392.

It can be written as a sum of positive squares in 4 ways, for example, as 1297944729 + 1641465225 = 36027^2 + 40515^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2939409954.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7654 + ... + 77054.

Almost surely, 22939409954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2939409954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448307772).

2939409954 is an abundant number, since it is smaller than the sum of its proper divisors (3957205590).

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

2939409954 is a wasteful number, since it uses less digits than its factorization.

2939409954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69603 (or 69600 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The square root of 2939409954 is about 54216.3255302312. The cubic root of 2939409954 is about 1432.4739079520.

The spelling of 2939409954 in words is "two billion, nine hundred thirty-nine million, four hundred nine thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 181 234 362 543 1086 1629 2353 3258 4706 7059 14118 21177 42354 69401 138802 208203 416406 624609 902213 1249218 1804426 2706639 5413278 8119917 12561581 16239834 25123162 37684743 75369486 113054229 163300553 226108458 326601106 489901659 979803318 1469704977 2939409954