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48258288 = 2433132661
BaseRepresentation
bin1011100000010…
…1110011110000
310100210202221000
42320011303300
544323231123
64442202000
71124121501
oct270056360
9110722830
1048258288
1125271191
12141b3300
139cc8700
1465a2ba8
154383b43
hex2e05cf0

48258288 has 120 divisors (see below), whose sum is σ = 150221040. Its totient is φ = 14826240.

The previous prime is 48258263. The next prime is 48258293. The reversal of 48258288 is 88285284.

It is a super-4 number, since 4×482582884 (a number of 32 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72678 + ... + 73338.

It is an arithmetic number, because the mean of its divisors is an integer number (1251842).

Almost surely, 248258288 is an apocalyptic number.

48258288 is a gapful number since it is divisible by the number (48) 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 48258288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75110520).

48258288 is an abundant number, since it is smaller than the sum of its proper divisors (101962752).

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

48258288 is a wasteful number, since it uses less digits than its factorization.

48258288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 679 counting only the distinct ones).

The product of its digits is 327680, while the sum is 45.

The square root of 48258288 is about 6946.8185524022. The cubic root of 48258288 is about 364.0748145539.

The spelling of 48258288 in words is "forty-eight million, two hundred fifty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 169 208 216 234 312 338 351 432 468 507 624 661 676 702 936 1014 1322 1352 1404 1521 1872 1983 2028 2644 2704 2808 3042 3966 4056 4563 5288 5616 5949 6084 7932 8112 8593 9126 10576 11898 12168 15864 17186 17847 18252 23796 24336 25779 31728 34372 35694 36504 47592 51558 68744 71388 73008 77337 95184 103116 111709 137488 142776 154674 206232 223418 232011 285552 309348 335127 412464 446836 464022 618696 670254 893672 928044 1005381 1237392 1340508 1787344 1856088 2010762 2681016 3016143 3712176 4021524 5362032 6032286 8043048 12064572 16086096 24129144 48258288