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48934100 = 22521992459
BaseRepresentation
bin1011101010101…
…0110011010100
310102002002222002
42322222303110
5100011342400
64504454432
71132635005
oct272526324
9112062862
1048934100
1125692a06
121447a418
13a1a41b7
1466db1ac
154468ed5
hex2eaacd4

48934100 has 36 divisors (see below), whose sum is σ = 106764000. Its totient is φ = 19467360.

The previous prime is 48934099. The next prime is 48934103. The reversal of 48934100 is 143984.

It is a super-2 number, since 2×489341002 = 4789092285620000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48934103) 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, 18671 + ... + 21129.

Almost surely, 248934100 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 48934100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53382000).

48934100 is an abundant number, since it is smaller than the sum of its proper divisors (57829900).

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

48934100 is a wasteful number, since it uses less digits than its factorization.

48934100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672 (or 2665 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 48934100 is about 6995.2912734210. The cubic root of 48934100 is about 365.7664509794.

The spelling of 48934100 in words is "forty-eight million, nine hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 199 398 796 995 1990 2459 3980 4918 4975 9836 9950 12295 19900 24590 49180 61475 122950 245900 489341 978682 1957364 2446705 4893410 9786820 12233525 24467050 48934100