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52415040 = 263571769
BaseRepresentation
bin1100011111110…
…0101001000000
310122121221220210
43013330221000
5101404240130
65111234120
71204343346
oct307745100
9118557823
1052415040
1127650217
1215678940
13ab22722
146d65996
1549055b0
hex31fca40

52415040 has 112 divisors (see below), whose sum is σ = 168981120. Its totient is φ = 13762560.

The previous prime is 52415023. The next prime is 52415089. The reversal of 52415040 is 4051425.

It is a junction number, because it is equal to n+sod(n) for n = 52414998 and 52415016.

It is a congruent number.

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, 67776 + ... + 68544.

It is an arithmetic number, because the mean of its divisors is an integer number (1508760).

Almost surely, 252415040 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 52415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84490560).

52415040 is an abundant number, since it is smaller than the sum of its proper divisors (116566080).

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

52415040 is a wasteful number, since it uses less digits than its factorization.

52415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 52415040 is about 7239.8232022612. The cubic root of 52415040 is about 374.2415247194.

Adding to 52415040 its reverse (4051425), we get a palindrome (56466465).

The spelling of 52415040 in words is "fifty-two million, four hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 71 80 96 120 142 160 192 213 240 284 320 355 426 480 568 710 769 852 960 1065 1136 1420 1538 1704 2130 2272 2307 2840 3076 3408 3845 4260 4544 4614 5680 6152 6816 7690 8520 9228 11360 11535 12304 13632 15380 17040 18456 22720 23070 24608 30760 34080 36912 46140 49216 54599 61520 68160 73824 92280 109198 123040 147648 163797 184560 218396 246080 272995 327594 369120 436792 545990 655188 738240 818985 873584 1091980 1310376 1637970 1747168 2183960 2620752 3275940 3494336 4367920 5241504 6551880 8735840 10483008 13103760 17471680 26207520 52415040