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48052608 = 273172433
BaseRepresentation
bin1011011101001…
…1100110000000
310100102022210020
42313103212000
544300140413
64433533440
71122304032
oct267234600
9110368706
1048052608
11251406aa
1214114280
139c55bc6
14654bc52
154342c23
hex2dd3980

48052608 has 96 divisors (see below), whose sum is σ = 135902760. Its totient is φ = 15040512.

The previous prime is 48052607. The next prime is 48052633. The reversal of 48052608 is 80625084.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48052607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110760 + ... + 111192.

Almost surely, 248052608 is an apocalyptic number.

48052608 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 48052608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67951380).

48052608 is an abundant number, since it is smaller than the sum of its proper divisors (87850152).

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

48052608 is a wasteful number, since it uses less digits than its factorization.

48052608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 48052608 is about 6931.9988459318. The cubic root of 48052608 is about 363.5568410349.

The spelling of 48052608 in words is "forty-eight million, fifty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 289 384 408 433 544 578 816 866 867 1088 1156 1299 1632 1732 1734 2176 2312 2598 3264 3464 3468 4624 5196 6528 6928 6936 7361 9248 10392 13856 13872 14722 18496 20784 22083 27712 27744 29444 36992 41568 44166 55424 55488 58888 83136 88332 110976 117776 125137 166272 176664 235552 250274 353328 375411 471104 500548 706656 750822 942208 1001096 1413312 1501644 2002192 2826624 3003288 4004384 6006576 8008768 12013152 16017536 24026304 48052608