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48321252 = 22337223397
BaseRepresentation
bin1011100001010…
…1001011100100
310100220222022000
42320111023210
544332240002
64443405300
71124503200
oct270251344
9110828260
1048321252
1125304521
1214223830
13a01b275
1465bbb00
15439761c
hex2e152e4

48321252 has 144 divisors (see below), whose sum is σ = 152449920. Its totient is φ = 13172544.

The previous prime is 48321241. The next prime is 48321257. The reversal of 48321252 is 25212384.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48321257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121518 + ... + 121914.

It is an arithmetic number, because the mean of its divisors is an integer number (1058680).

Almost surely, 248321252 is an apocalyptic number.

48321252 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 48321252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76224960).

48321252 is an abundant number, since it is smaller than the sum of its proper divisors (104128668).

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

48321252 is a wasteful number, since it uses less digits than its factorization.

48321252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 432 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 48321252 is about 6951.3489338401. The cubic root of 48321252 is about 364.2330854272.

It can be divided in two parts, 4832 and 1252, that added together give a square (6084 = 782).

The spelling of 48321252 in words is "forty-eight million, three hundred twenty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 49 54 63 69 84 92 98 108 126 138 147 161 189 196 207 252 276 294 322 378 397 414 441 483 588 621 644 756 794 828 882 966 1127 1191 1242 1323 1449 1588 1764 1932 2254 2382 2484 2646 2779 2898 3381 3573 4347 4508 4764 5292 5558 5796 6762 7146 8337 8694 9131 10143 10719 11116 13524 14292 16674 17388 18262 19453 20286 21438 25011 27393 30429 33348 36524 38906 40572 42876 50022 54786 58359 60858 63917 75033 77812 82179 100044 109572 116718 121716 127834 150066 164358 175077 191751 233436 246537 255668 300132 328716 350154 383502 447419 493074 525231 575253 700308 767004 894838 986148 1050462 1150506 1342257 1725759 1789676 2100924 2301012 2684514 3451518 4026771 5369028 6903036 8053542 12080313 16107084 24160626 48321252