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49394592 = 25321379167
BaseRepresentation
bin1011110001101…
…1001110100000
310102221111122100
42330123032200
5100121111332
64522410400
71136563362
oct274331640
9112844570
1049394592
1125977985
1214660a00
13a305990
1467bad32
15450a67c
hex2f1b3a0

49394592 has 144 divisors (see below), whose sum is σ = 154103040. Its totient is φ = 14916096.

The previous prime is 49394591. The next prime is 49394599. The reversal of 49394592 is 29549394.

It is a happy number.

49394592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49394591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295693 + ... + 295859.

It is an arithmetic number, because the mean of its divisors is an integer number (1070160).

Almost surely, 249394592 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 49394592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77051520).

49394592 is an abundant number, since it is smaller than the sum of its proper divisors (104708448).

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

49394592 is a wasteful number, since it uses less digits than its factorization.

49394592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 264 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 49394592 is about 7028.1286271667. The cubic root of 49394592 is about 366.9102132192.

The spelling of 49394592 in words is "forty-nine million, three hundred ninety-four thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 79 96 104 117 144 156 158 167 208 234 237 288 312 316 334 416 468 474 501 624 632 668 711 936 948 1002 1027 1248 1264 1336 1422 1503 1872 1896 2004 2054 2171 2528 2672 2844 3006 3081 3744 3792 4008 4108 4342 5344 5688 6012 6162 6513 7584 8016 8216 8684 9243 11376 12024 12324 13026 13193 16032 16432 17368 18486 19539 22752 24048 24648 26052 26386 32864 34736 36972 39078 39579 48096 49296 52104 52772 69472 73944 78156 79158 98592 104208 105544 118737 147888 156312 158316 171509 208416 211088 237474 295776 312624 316632 343018 422176 474948 514527 625248 633264 686036 949896 1029054 1266528 1372072 1543581 1899792 2058108 2744144 3087162 3799584 4116216 5488288 6174324 8232432 12348648 16464864 24697296 49394592