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49167252 = 22325373353
BaseRepresentation
bin1011101110001…
…1101110010100
310102111221210100
42323203232110
5100041323002
64513454100
71134625521
oct273435624
9112457710
1049167252
11258320a2
1214571330
13a256364
14675c148
1544b311c
hex2ee3b94

49167252 has 72 divisors (see below), whose sum is σ = 128727144. Its totient is φ = 15814656.

The previous prime is 49167233. The next prime is 49167253. The reversal of 49167252 is 25276194.

It can be written as a sum of positive squares in 4 ways, for example, as 11048976 + 38118276 = 3324^2 + 6174^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49167253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139108 + ... + 139460.

It is an arithmetic number, because the mean of its divisors is an integer number (1787877).

Almost surely, 249167252 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 49167252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64363572).

49167252 is an abundant number, since it is smaller than the sum of its proper divisors (79559892).

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

49167252 is a wasteful number, since it uses less digits than its factorization.

49167252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 484 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 49167252 is about 7011.9363944634. The cubic root of 49167252 is about 366.3464425478.

The spelling of 49167252 in words is "forty-nine million, one hundred sixty-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 73 106 146 159 212 219 292 318 353 438 477 636 657 706 876 954 1059 1314 1412 1908 2118 2628 3177 3869 4236 6354 7738 11607 12708 15476 18709 23214 25769 34821 37418 46428 51538 56127 69642 74836 77307 103076 112254 139284 154614 168381 224508 231921 309228 336762 463842 673524 927684 1365757 2731514 4097271 5463028 8194542 12291813 16389084 24583626 49167252