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57553050 = 23523112377
BaseRepresentation
bin1101101110001…
…1000010011010
311000021222221110
43123203002122
5104213144200
65413321150
71266123102
oct333430232
9130258843
1057553050
112a53a505
12173361b6
13bc01279
147902202
1550bcb50
hex36e309a

57553050 has 48 divisors (see below), whose sum is σ = 147347712. Its totient is φ = 14851200.

The previous prime is 57553021. The next prime is 57553063. The reversal of 57553050 is 5035575.

57553050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 57552999 and 57553017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1539 + ... + 10838.

It is an arithmetic number, because the mean of its divisors is an integer number (3069744).

Almost surely, 257553050 is an apocalyptic number.

57553050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

57553050 is an abundant number, since it is smaller than the sum of its proper divisors (89794662).

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

57553050 is a wasteful number, since it uses less digits than its factorization.

57553050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12423 (or 12418 counting only the distinct ones).

The product of its (nonzero) digits is 13125, while the sum is 30.

The square root of 57553050 is about 7586.3726510105. The cubic root of 57553050 is about 386.0907953970.

The spelling of 57553050 in words is "fifty-seven million, five hundred fifty-three thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 150 155 186 310 465 775 930 1550 2325 4650 12377 24754 37131 61885 74262 123770 185655 309425 371310 383687 618850 767374 928275 1151061 1856550 1918435 2302122 3836870 5755305 9592175 11510610 19184350 28776525 57553050