Search a number
-
+
49167216 = 2433771229
BaseRepresentation
bin1011101110001…
…1101101110000
310102111221202000
42323203231300
5100041322331
64513454000
71134625440
oct273435560
9112457660
1049167216
112583206a
1214571300
13a256337
14675c120
1544b30e6
hex2ee3b70

49167216 has 160 divisors (see below), whose sum is σ = 164275200. Its totient is φ = 13789440.

The previous prime is 49167203. The next prime is 49167221. The reversal of 49167216 is 61276194.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (18144) is a multiple of the sum of its prime factors (324).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214590 + ... + 214818.

It is an arithmetic number, because the mean of its divisors is an integer number (1026720).

Almost surely, 249167216 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 49167216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82137600).

49167216 is an abundant number, since it is smaller than the sum of its proper divisors (115107984).

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

49167216 is a wasteful number, since it uses less digits than its factorization.

49167216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 312 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 49167216 is about 7011.9338274117. The cubic root of 49167216 is about 366.3463531354.

The spelling of 49167216 in words is "forty-nine million, one hundred sixty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 71 72 84 108 112 126 142 144 168 189 213 216 229 252 284 336 378 426 432 458 497 504 568 639 687 756 852 916 994 1008 1136 1278 1374 1491 1512 1603 1704 1832 1917 1988 2061 2556 2748 2982 3024 3206 3408 3664 3834 3976 4122 4473 4809 5112 5496 5964 6183 6412 7668 7952 8244 8946 9618 10224 10992 11928 12366 12824 13419 14427 15336 16259 16488 17892 19236 23856 24732 25648 26838 28854 30672 32518 32976 35784 38472 43281 48777 49464 53676 57708 65036 71568 76944 86562 97554 98928 107352 113813 115416 130072 146331 173124 195108 214704 227626 230832 260144 292662 341439 346248 390216 438993 455252 585324 682878 692496 780432 877986 910504 1024317 1170648 1365756 1755972 1821008 2048634 2341296 2731512 3072951 3511944 4097268 5463024 6145902 7023888 8194536 12291804 16389072 24583608 49167216