Search a number
-
+
49409360 = 24571113617
BaseRepresentation
bin1011110001111…
…0110101010000
310102222020220022
42330132311100
5100122044420
64523003012
71136654420
oct274366520
9112866808
1049409360
1125987a90
1214669468
13a30c610
1467c2480
15450ec25
hex2f1ed50

49409360 has 160 divisors (see below), whose sum is σ = 154490112. Its totient is φ = 14192640.

The previous prime is 49409341. The next prime is 49409369. The reversal of 49409360 is 6390494.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 49409360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49409369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79772 + ... + 80388.

Almost surely, 249409360 is an apocalyptic number.

49409360 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 49409360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77245056).

49409360 is an abundant number, since it is smaller than the sum of its proper divisors (105080752).

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

49409360 is a wasteful number, since it uses less digits than its factorization.

49409360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 49409360 is about 7029.1791839446. The cubic root of 49409360 is about 366.9467758595.

The spelling of 49409360 in words is "forty-nine million, four hundred nine thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 13 14 16 20 22 26 28 35 40 44 52 55 56 65 70 77 80 88 91 104 110 112 130 140 143 154 176 182 208 220 260 280 286 308 364 385 440 455 520 560 572 616 617 715 728 770 880 910 1001 1040 1144 1232 1234 1430 1456 1540 1820 2002 2288 2468 2860 3080 3085 3640 4004 4319 4936 5005 5720 6160 6170 6787 7280 8008 8021 8638 9872 10010 11440 12340 13574 16016 16042 17276 20020 21595 24680 27148 32084 33935 34552 40040 40105 43190 47509 49360 54296 56147 64168 67870 69104 80080 80210 86380 88231 95018 108592 112294 128336 135740 160420 172760 176462 190036 224588 237545 271480 280735 320840 345520 352924 380072 441155 449176 475090 542960 561470 617617 641680 705848 760144 882310 898352 950180 1122940 1235234 1411696 1764620 1900360 2245880 2470468 3088085 3529240 3800720 4491760 4940936 6176170 7058480 9881872 12352340 24704680 49409360