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48933696 = 2637231583
BaseRepresentation
bin1011101010101…
…0101101000000
310102002002102010
42322222231000
5100011334241
64504452520
71132633560
oct272525500
9112062363
1048933696
1125692679
121447a140
13a1a3c66
1466dada0
154468d16
hex2eaab40

48933696 has 112 divisors (see below), whose sum is σ = 154497024. Its totient is φ = 13364736.

The previous prime is 48933671. The next prime is 48933707. The reversal of 48933696 is 69633984.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30121 + ... + 31703.

Almost surely, 248933696 is an apocalyptic number.

48933696 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 48933696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77248512).

48933696 is an abundant number, since it is smaller than the sum of its proper divisors (105563328).

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

48933696 is a wasteful number, since it uses less digits than its factorization.

48933696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1618 counting only the distinct ones).

The product of its digits is 839808, while the sum is 48.

The square root of 48933696 is about 6995.2623967940. The cubic root of 48933696 is about 365.7654443871.

The spelling of 48933696 in words is "forty-eight million, nine hundred thirty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 138 161 168 184 192 224 276 322 336 368 448 483 552 644 672 736 966 1104 1288 1344 1472 1583 1932 2208 2576 3166 3864 4416 4749 5152 6332 7728 9498 10304 11081 12664 15456 18996 22162 25328 30912 33243 36409 37992 44324 50656 66486 72818 75984 88648 101312 109227 132972 145636 151968 177296 218454 254863 265944 291272 303936 354592 436908 509726 531888 582544 709184 764589 873816 1019452 1063776 1165088 1529178 1747632 2038904 2127552 2330176 3058356 3495264 4077808 6116712 6990528 8155616 12233424 16311232 24466848 48933696