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48533328 = 24324771101
BaseRepresentation
bin1011100100100…
…0111101010000
310101022202012200
42321020331100
544411031303
64452123200
71126345404
oct271107520
9111282180
1048533328
1125439898
1214306500
13a09395c
146635104
1543da3a3
hex2e48f50

48533328 has 120 divisors (see below), whose sum is σ = 142062336. Its totient is φ = 15456000.

The previous prime is 48533267. The next prime is 48533333. The reversal of 48533328 is 82333584.

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

It is a junction number, because it is equal to n+sod(n) for n = 48533292 and 48533301.

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, 480478 + ... + 480578.

Almost surely, 248533328 is an apocalyptic number.

48533328 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 48533328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71031168).

48533328 is an abundant number, since it is smaller than the sum of its proper divisors (93529008).

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

48533328 is a wasteful number, since it uses less digits than its factorization.

48533328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 224 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 48533328 is about 6966.5865386142. The cubic root of 48533328 is about 364.7651657643.

The spelling of 48533328 in words is "forty-eight million, five hundred thirty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 71 72 94 101 141 142 144 188 202 213 282 284 303 376 404 423 426 564 568 606 639 752 808 846 852 909 1128 1136 1212 1278 1616 1692 1704 1818 2256 2424 2556 3337 3384 3408 3636 4747 4848 5112 6674 6768 7171 7272 9494 10011 10224 13348 14241 14342 14544 18988 20022 21513 26696 28482 28684 30033 37976 40044 42723 43026 53392 56964 57368 60066 64539 75952 80088 85446 86052 113928 114736 120132 129078 160176 170892 172104 227856 240264 258156 337037 341784 344208 480528 516312 674074 683568 1011111 1032624 1348148 2022222 2696296 3033333 4044444 5392592 6066666 8088888 12133332 16177776 24266664 48533328