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53854740 = 223351929181
BaseRepresentation
bin1100110101110…
…0001000010100
310202100002211000
43031130020110
5102241322430
65202143300
71222520622
oct315341024
9122302730
1053854740
1128443955
1216051b30
13b207b14
14721c512
154adbe60
hex335c214

53854740 has 192 divisors, whose sum is σ = 183456000. Its totient is φ = 13063680.

The previous prime is 53854699. The next prime is 53854751. The reversal of 53854740 is 4745835.

53854740 is a `hidden beast` number, since 538 + 54 + 74 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 53854695 and 53854704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 297450 + ... + 297630.

It is an arithmetic number, because the mean of its divisors is an integer number (955500).

Almost surely, 253854740 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 53854740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91728000).

53854740 is an abundant number, since it is smaller than the sum of its proper divisors (129601260).

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

53854740 is a wasteful number, since it uses less digits than its factorization.

53854740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 53854740 is about 7338.5788815002. The cubic root of 53854740 is about 377.6370918539.

It can be divided in two parts, 538 and 54740, that added together give a triangular number (55278 = T332).

The spelling of 53854740 in words is "fifty-three million, eight hundred fifty-four thousand, seven hundred forty".