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52404144 = 24313137613
BaseRepresentation
bin1100011111100…
…1111110110000
310122121101222020
43013321332300
5101403413034
65111111440
71204266522
oct307717660
9118541866
1052404144
1127643011
1215672580
13ab1a790
146d61a12
154902249
hex31f9fb0

52404144 has 80 divisors (see below), whose sum is σ = 147094752. Its totient is φ = 15980544.

The previous prime is 52404133. The next prime is 52404151. The reversal of 52404144 is 44140425.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85182 + ... + 85794.

Almost surely, 252404144 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 52404144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73547376).

52404144 is an abundant number, since it is smaller than the sum of its proper divisors (94690608).

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

52404144 is a wasteful number, since it uses less digits than its factorization.

52404144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 52404144 is about 7239.0706585859. The cubic root of 52404144 is about 374.2155905712.

Adding to 52404144 its reverse (44140425), we get a palindrome (96544569).

The spelling of 52404144 in words is "fifty-two million, four hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 137 156 208 274 312 411 548 613 624 822 1096 1226 1644 1781 1839 2192 2452 3288 3562 3678 4904 5343 6576 7124 7356 7969 9808 10686 14248 14712 15938 21372 23907 28496 29424 31876 42744 47814 63752 83981 85488 95628 127504 167962 191256 251943 335924 382512 503886 671848 1007772 1091753 1343696 2015544 2183506 3275259 4031088 4367012 6550518 8734024 13101036 17468048 26202072 52404144