Search a number
-
+
49619640 = 23357193109
BaseRepresentation
bin1011110101001…
…0001010111000
310110100221100110
42331102022320
5100200312030
64531304320
71141521450
oct275221270
9113327313
1049619640
1126010a74
121474b0a0
13a384245
146838d60
1545521b0
hex2f522b8

49619640 has 128 divisors (see below), whose sum is σ = 179136000. Its totient is φ = 10741248.

The previous prime is 49619611. The next prime is 49619653. The reversal of 49619640 is 4691694.

49619640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 14406 + ... + 17514.

It is an arithmetic number, because the mean of its divisors is an integer number (1399500).

Almost surely, 249619640 is an apocalyptic number.

49619640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49619640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89568000).

49619640 is an abundant number, since it is smaller than the sum of its proper divisors (129516360).

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

49619640 is a wasteful number, since it uses less digits than its factorization.

49619640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3149 (or 3145 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 49619640 is about 7044.1209529650. The cubic root of 49619640 is about 367.4665988432.

The spelling of 49619640 in words is "forty-nine million, six hundred nineteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 840 1064 1140 1330 1596 1995 2280 2660 3109 3192 3990 5320 6218 7980 9327 12436 15545 15960 18654 21763 24872 31090 37308 43526 46635 59071 62180 65289 74616 87052 93270 108815 118142 124360 130578 174104 177213 186540 217630 236284 261156 295355 326445 354426 373080 413497 435260 472568 522312 590710 652890 708852 826994 870520 886065 1181420 1240491 1305780 1417704 1653988 1772130 2067485 2362840 2480982 2611560 3307976 3544260 4134970 4961964 6202455 7088520 8269940 9923928 12404910 16539880 24809820 49619640