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48142496 = 2523149439
BaseRepresentation
bin1011011110100…
…1100010100000
310100120220002102
42313221202200
544311024441
64435505532
71123130063
oct267514240
9110526072
1048142496
11251a2196
12141582a8
139c87aac
1465728da
15435e69b
hex2de98a0

48142496 has 48 divisors (see below), whose sum is σ = 99792000. Its totient is φ = 22818048.

The previous prime is 48142469. The next prime is 48142529. The reversal of 48142496 is 69424184.

It is a super-2 number, since 2×481424962 = 4635399842220032, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109445 + ... + 109883.

It is an arithmetic number, because the mean of its divisors is an integer number (2079000).

Almost surely, 248142496 is an apocalyptic number.

48142496 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 48142496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49896000).

48142496 is an abundant number, since it is smaller than the sum of its proper divisors (51649504).

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

48142496 is a wasteful number, since it uses less digits than its factorization.

48142496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 613 counting only the distinct ones).

The product of its digits is 55296, while the sum is 38.

The square root of 48142496 is about 6938.4793723121. The cubic root of 48142496 is about 363.7833916355.

The spelling of 48142496 in words is "forty-eight million, one hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 23 32 46 92 149 184 298 368 439 596 736 878 1192 1756 2384 3427 3512 4768 6854 7024 10097 13708 14048 20194 27416 40388 54832 65411 80776 109664 130822 161552 261644 323104 523288 1046576 1504453 2093152 3008906 6017812 12035624 24071248 48142496