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49325472 = 2532743569
BaseRepresentation
bin1011110000101…
…0010110100000
310102210222211100
42330022112200
5100111403342
64521114400
71136155020
oct274122640
9112728740
1049325472
112592aa59
1214628a00
13a2b0391
14679da80
1544e4e4c
hex2f0a5a0

49325472 has 144 divisors (see below), whose sum is σ = 164324160. Its totient is φ = 13741056.

The previous prime is 49325459. The next prime is 49325473. The reversal of 49325472 is 27452394.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (49325473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86404 + ... + 86972.

It is an arithmetic number, because the mean of its divisors is an integer number (1141140).

Almost surely, 249325472 is an apocalyptic number.

49325472 is a gapful number since it is divisible by the number (42) 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 49325472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82162080).

49325472 is an abundant number, since it is smaller than the sum of its proper divisors (114998688).

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

49325472 is a wasteful number, since it uses less digits than its factorization.

49325472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 624 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 49325472 is about 7023.2095227182. The cubic root of 49325472 is about 366.7389888562.

It can be divided in two parts, 4932 and 5472, that added together give a square (10404 = 1022).

The spelling of 49325472 in words is "forty-nine million, three hundred twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 43 48 56 63 72 84 86 96 112 126 129 144 168 172 224 252 258 288 301 336 344 387 504 516 569 602 672 688 774 903 1008 1032 1138 1204 1376 1548 1707 1806 2016 2064 2276 2408 2709 3096 3414 3612 3983 4128 4552 4816 5121 5418 6192 6828 7224 7966 9104 9632 10242 10836 11949 12384 13656 14448 15932 18208 20484 21672 23898 24467 27312 28896 31864 35847 40968 43344 47796 48934 54624 63728 71694 73401 81936 86688 95592 97868 127456 143388 146802 163872 171269 191184 195736 220203 286776 293604 342538 382368 391472 440406 513807 573552 587208 685076 782944 880812 1027614 1147104 1174416 1370152 1541421 1761624 2055228 2348832 2740304 3082842 3523248 4110456 5480608 6165684 7046496 8220912 12331368 16441824 24662736 49325472