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4956048 = 2432127271
BaseRepresentation
bin10010111001111110010000
3100022210102100
4102321332100
52232043143
6254120400
760061056
oct22717620
910283370
104956048
112885609
1217b0100
131046a96
149301d6
1567d6d3
hex4b9f90

4956048 has 60 divisors (see below), whose sum is σ = 14030848. Its totient is φ = 1632960.

The previous prime is 4956023. The next prime is 4956073. The reversal of 4956048 is 8406594.

4956048 is a `hidden beast` number, since 49 + 5 + 604 + 8 = 666.

4956048 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4956023) and next prime (4956073).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18153 + ... + 18423.

Almost surely, 24956048 is an apocalyptic number.

4956048 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 4956048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7015424).

4956048 is an abundant number, since it is smaller than the sum of its proper divisors (9074800).

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

4956048 is a wasteful number, since it uses less digits than its factorization.

4956048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4956048 is about 2226.2183181350. The cubic root of 4956048 is about 170.4950735728.

The spelling of 4956048 in words is "four million, nine hundred fifty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 127 144 254 271 381 508 542 762 813 1016 1084 1143 1524 1626 2032 2168 2286 2439 3048 3252 4336 4572 4878 6096 6504 9144 9756 13008 18288 19512 34417 39024 68834 103251 137668 206502 275336 309753 413004 550672 619506 826008 1239012 1652016 2478024 4956048