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55874784 = 2537176773
BaseRepresentation
bin1101010100100…
…1010011100000
310220010201210110
43111021103200
5103300443114
65313331320
71245633150
oct325112340
9126121713
1055874784
11295a3609
1216866b40
13b764404
1475c6760
154d8a759
hex35494e0

55874784 has 192 divisors, whose sum is σ = 182601216. Its totient is φ = 14598144.

The previous prime is 55874779. The next prime is 55874789. The reversal of 55874784 is 48747855.

It is an interprime number because it is at equal distance from previous prime (55874779) and next prime (55874789).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55874789) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 765372 + ... + 765444.

It is an arithmetic number, because the mean of its divisors is an integer number (951048).

Almost surely, 255874784 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 55874784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91300608).

55874784 is an abundant number, since it is smaller than the sum of its proper divisors (126726432).

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

55874784 is a wasteful number, since it uses less digits than its factorization.

55874784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 169 counting only the distinct ones).

The product of its digits is 1254400, while the sum is 48.

The square root of 55874784 is about 7474.9437456077. The cubic root of 55874784 is about 382.3008694801.

The spelling of 55874784 in words is "fifty-five million, eight hundred seventy-four thousand, seven hundred eighty-four".