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48933456 = 24311137129
BaseRepresentation
bin1011101010101…
…0101001010000
310102002002002020
42322222221100
5100011332311
64504451440
71132633065
oct272525120
9112062066
1048933456
1125692480
1214479b80
13a1a3b10
1466dac6c
154468c06
hex2eaaa50

48933456 has 80 divisors (see below), whose sum is σ = 148532160. Its totient is φ = 13685760.

The previous prime is 48933427. The next prime is 48933457. The reversal of 48933456 is 65433984.

It is a super-2 number, since 2×489334562 = 4788966232207872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48933457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3300 + ... + 10428.

It is an arithmetic number, because the mean of its divisors is an integer number (1856652).

Almost surely, 248933456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48933456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74266080).

48933456 is an abundant number, since it is smaller than the sum of its proper divisors (99598704).

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

48933456 is a wasteful number, since it uses less digits than its factorization.

48933456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7164 (or 7158 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 48933456 is about 6995.2452423057. The cubic root of 48933456 is about 365.7648464089.

The spelling of 48933456 in words is "forty-eight million, nine hundred thirty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 3432 6864 7129 14258 21387 28516 42774 57032 78419 85548 92677 114064 156838 171096 185354 235257 278031 313676 342192 370708 470514 556062 627352 741416 941028 1019447 1112124 1254704 1482832 1882056 2038894 2224248 3058341 3764112 4077788 4448496 6116682 8155576 12233364 16311152 24466728 48933456