Search a number
-
+
49333536 = 253472719
BaseRepresentation
bin1011110000110…
…0010100100000
310102211101220000
42330030110200
5100112133121
64521220000
71136220360
oct274142440
9112741800
1049333536
112593601a
1214631600
13a2b3c55
1467a29a0
1544e7526
hex2f0c520

49333536 has 120 divisors (see below), whose sum is σ = 165876480. Its totient is φ = 14090112.

The previous prime is 49333523. The next prime is 49333573. The reversal of 49333536 is 63533394.

49333536 is a `hidden beast` number, since 4 + 93 + 33 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 49333536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16785 + ... + 19503.

It is an arithmetic number, because the mean of its divisors is an integer number (1382304).

Almost surely, 249333536 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 49333536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82938240).

49333536 is an abundant number, since it is smaller than the sum of its proper divisors (116542944).

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

49333536 is a wasteful number, since it uses less digits than its factorization.

49333536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 2731 counting only the distinct ones).

The product of its digits is 87480, while the sum is 36.

The square root of 49333536 is about 7023.7835957552. The cubic root of 49333536 is about 366.7589732709.

The spelling of 49333536 in words is "forty-nine million, three hundred thirty-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 2719 3024 4536 5438 6048 8157 9072 10876 16314 18144 19033 21752 24471 32628 38066 43504 48942 57099 65256 73413 76132 87008 97884 114198 130512 146826 152264 171297 195768 220239 228396 261024 293652 304528 342594 391536 440478 456792 513891 587304 609056 685188 783072 880956 913584 1027782 1174608 1370376 1541673 1761912 1827168 2055564 2349216 2740752 3083346 3523824 4111128 5481504 6166692 7047648 8222256 12333384 16444512 24666768 49333536