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52451040 = 2535234751
BaseRepresentation
bin1100100000010…
…1011011100000
310122200210022010
43020011123200
5101411413130
65112112520
71204553325
oct310053340
9118623263
1052451040
1127675274
1215695740
13ab35c25
146d74b4c
1549110b0
hex32056e0

52451040 has 96 divisors (see below), whose sum is σ = 172440576. Its totient is φ = 13376000.

The previous prime is 52451029. The next prime is 52451041. The reversal of 52451040 is 4015425.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×524510402 = 5502223194163200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 52450998 and 52451016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52451041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8665 + ... + 13415.

It is an arithmetic number, because the mean of its divisors is an integer number (1796256).

Almost surely, 252451040 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 52451040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86220288).

52451040 is an abundant number, since it is smaller than the sum of its proper divisors (119989536).

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

52451040 is a wasteful number, since it uses less digits than its factorization.

52451040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4792 (or 4784 counting only the distinct ones).

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

The square root of 52451040 is about 7242.3090240613. The cubic root of 52451040 is about 374.3271846852.

Adding to 52451040 its reverse (4015425), we get a palindrome (56466465).

The spelling of 52451040 in words is "fifty-two million, four hundred fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1380 1840 2208 2760 3680 4751 5520 9502 11040 14253 19004 23755 28506 38008 47510 57012 71265 76016 95020 109273 114024 142530 152032 190040 218546 228048 285060 327819 380080 437092 456096 546365 570120 655638 760160 874184 1092730 1140240 1311276 1639095 1748368 2185460 2280480 2622552 3278190 3496736 4370920 5245104 6556380 8741840 10490208 13112760 17483680 26225520 52451040