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52972480 = 26511101149
BaseRepresentation
bin1100101000010…
…0101111000000
310200200021120201
43022010233000
5102030104410
65131214544
71212154501
oct312045700
9120607521
1052972480
11279a1010
12158a7454
13ac89382
14706cba8
1549b583a
hex3284bc0

52972480 has 112 divisors (see below), whose sum is σ = 139903200. Its totient is φ = 18944000.

The previous prime is 52972477. The next prime is 52972481. The reversal of 52972480 is 8427925.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52972481) 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, 355446 + ... + 355594.

Almost surely, 252972480 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 52972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69951600).

52972480 is an abundant number, since it is smaller than the sum of its proper divisors (86930720).

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

52972480 is a wasteful number, since it uses less digits than its factorization.

52972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 52972480 is about 7278.2195625029. The cubic root of 52972480 is about 375.5635497107.

It can be divided in two parts, 5297 and 2480, that added together give a palindrome (7777).

The spelling of 52972480 in words is "fifty-two million, nine hundred seventy-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 101 110 149 160 176 202 220 298 320 352 404 440 505 596 704 745 808 880 1010 1111 1192 1490 1616 1639 1760 2020 2222 2384 2980 3232 3278 3520 4040 4444 4768 5555 5960 6464 6556 8080 8195 8888 9536 11110 11920 13112 15049 16160 16390 17776 22220 23840 26224 30098 32320 32780 35552 44440 47680 52448 60196 65560 71104 75245 88880 104896 120392 131120 150490 165539 177760 240784 262240 300980 331078 355520 481568 524480 601960 662156 827695 963136 1203920 1324312 1655390 2407840 2648624 3310780 4815680 5297248 6621560 10594496 13243120 26486240 52972480