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48257496 = 23327232181
BaseRepresentation
bin1011100000010…
…1100111011000
310100210201211200
42320011213120
544323214441
64442154200
71124116260
oct270054730
9110721750
1048257496
1125270631
12141b2960
139cc8241
1465a27a0
1543837b6
hex2e059d8

48257496 has 144 divisors (see below), whose sum is σ = 157007760. Its totient is φ = 13115520.

The previous prime is 48257477. The next prime is 48257513. The reversal of 48257496 is 69475284.

It is a happy number.

Its product of digits (483840) is a multiple of the sum of its prime divisors (216).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 266526 + ... + 266706.

Almost surely, 248257496 is an apocalyptic number.

48257496 is a gapful number since it is divisible by the number (46) 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 48257496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78503880).

48257496 is an abundant number, since it is smaller than the sum of its proper divisors (108750264).

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

48257496 is a wasteful number, since it uses less digits than its factorization.

48257496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 216 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 48257496 is about 6946.7615476566. The cubic root of 48257496 is about 364.0728228489.

It can be divided in two parts, 4825 and 7496, that added together give a palindrome (12321).

The spelling of 48257496 in words is "forty-eight million, two hundred fifty-seven thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 181 184 207 252 276 322 362 414 483 504 529 543 552 644 724 828 966 1058 1086 1267 1288 1448 1449 1587 1629 1656 1932 2116 2172 2534 2898 3174 3258 3703 3801 3864 4163 4232 4344 4761 5068 5796 6348 6516 7406 7602 8326 9522 10136 11109 11403 11592 12489 12696 13032 14812 15204 16652 19044 22218 22806 24978 29141 29624 30408 33304 33327 37467 38088 44436 45612 49956 58282 66654 74934 87423 88872 91224 95749 99912 116564 133308 149868 174846 191498 233128 262269 266616 287247 299736 349692 382996 524538 574494 670243 699384 765992 861741 1049076 1148988 1340486 1723482 2010729 2098152 2297976 2680972 3446964 4021458 5361944 6032187 6893928 8042916 12064374 16085832 24128748 48257496