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49495950 = 23252719827
BaseRepresentation
bin1011110011001…
…1111110001110
310110010122200100
42330303332032
5100132332300
64524511530
71140465030
oct274637616
9113118610
1049495950
1125a37049
12146ab5a6
13a33cb5a
146805c50
15452a700
hex2f33f8e

49495950 has 144 divisors (see below), whose sum is σ = 160168320. Its totient is φ = 10704960.

The previous prime is 49495937. The next prime is 49495951. The reversal of 49495950 is 5959494.

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 = 49495896 and 49495905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49495951) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 59437 + ... + 60263.

It is an arithmetic number, because the mean of its divisors is an integer number (1112280).

Almost surely, 249495950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49495950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80084160).

49495950 is an abundant number, since it is smaller than the sum of its proper divisors (110672370).

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

49495950 is a wasteful number, since it uses less digits than its factorization.

49495950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 863 counting only the distinct ones).

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

The square root of 49495950 is about 7035.3358128806. The cubic root of 49495950 is about 367.1610090742.

The spelling of 49495950 in words is "forty-nine million, four hundred ninety-five thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 25 30 35 38 42 45 50 57 63 70 75 90 95 105 114 126 133 150 171 175 190 210 225 266 285 315 342 350 399 450 475 525 570 630 665 798 827 855 950 1050 1197 1330 1425 1575 1654 1710 1995 2394 2481 2850 3150 3325 3990 4135 4275 4962 5789 5985 6650 7443 8270 8550 9975 11578 11970 12405 14886 15713 17367 19950 20675 24810 28945 29925 31426 34734 37215 41350 47139 52101 57890 59850 62025 74430 78565 86835 94278 104202 109991 124050 141417 144725 157130 173670 186075 219982 235695 260505 282834 289450 329973 372150 392825 434175 471390 521010 549955 659946 707085 785650 868350 989919 1099910 1178475 1302525 1414170 1649865 1979838 2356950 2605050 2749775 3299730 3535425 4949595 5499550 7070850 8249325 9899190 16498650 24747975 49495950