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53003840 = 265732269
BaseRepresentation
bin1100101000110…
…0011001000000
310200201212121012
43022030121000
5102032110330
65132020052
71212345101
oct312143100
9120655535
1053003840
1127a1262a
1215901628
13ac9a726
14707a3a8
1549bec95
hex328c640

53003840 has 56 divisors (see below), whose sum is σ = 128000760. Its totient is φ = 20901888.

The previous prime is 53003803. The next prime is 53003879. The reversal of 53003840 is 4830035.

It can be written as a sum of positive squares in 4 ways, for example, as 238144 + 52765696 = 488^2 + 7264^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22226 + ... + 24494.

Almost surely, 253003840 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 53003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64000380).

53003840 is an abundant number, since it is smaller than the sum of its proper divisors (74996920).

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

53003840 is a wasteful number, since it uses less digits than its factorization.

53003840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 53003840 is about 7280.3736167864. The cubic root of 53003840 is about 375.6376469875.

Adding to 53003840 its reverse (4830035), we get a palindrome (57833875).

The spelling of 53003840 in words is "fifty-three million, three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 146 160 292 320 365 584 730 1168 1460 2269 2336 2920 4538 4672 5840 9076 11345 11680 18152 22690 23360 36304 45380 72608 90760 145216 165637 181520 331274 363040 662548 726080 828185 1325096 1656370 2650192 3312740 5300384 6625480 10600768 13250960 26501920 53003840