Search a number
-
+
49642160 = 2453137541
BaseRepresentation
bin1011110101011…
…1101010110000
310110102002020112
42331113222300
5100202022120
64532000452
71141644221
oct275275260
9113362215
1049642160
1126026987
1214760128
13a391579
146843248
154558bc5
hex2f57ab0

49642160 has 80 divisors (see below), whose sum is σ = 122587392. Its totient is φ = 18662400.

The previous prime is 49642157. The next prime is 49642223. The reversal of 49642160 is 6124694.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91490 + ... + 92030.

Almost surely, 249642160 is an apocalyptic number.

49642160 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 49642160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61293696).

49642160 is an abundant number, since it is smaller than the sum of its proper divisors (72945232).

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

49642160 is a wasteful number, since it uses less digits than its factorization.

49642160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 49642160 is about 7045.7192677540. The cubic root of 49642160 is about 367.5221823191.

The spelling of 49642160 in words is "forty-nine million, six hundred forty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 37 40 62 74 80 124 148 155 185 248 296 310 370 496 541 592 620 740 1082 1147 1240 1480 2164 2294 2480 2705 2960 4328 4588 5410 5735 8656 9176 10820 11470 16771 18352 20017 21640 22940 33542 40034 43280 45880 67084 80068 83855 91760 100085 134168 160136 167710 200170 268336 320272 335420 400340 620527 670840 800680 1241054 1341680 1601360 2482108 3102635 4964216 6205270 9928432 12410540 24821080 49642160