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52737480 = 2334541397
BaseRepresentation
bin1100100100101…
…1010111001000
310200020100020000
43021023113020
5102000044410
65122203000
71210155405
oct311132710
9120210200
1052737480
11278504a4
12157b3460
13ac06413
14700b2ac
15496adc0
hex324b5c8

52737480 has 160 divisors (see below), whose sum is σ = 182037240. Its totient is φ = 13685760.

The previous prime is 52737449. The next prime is 52737497. The reversal of 52737480 is 8473725.

It can be written as a sum of positive squares in 4 ways, for example, as 32970564 + 19766916 = 5742^2 + 4446^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 132642 + ... + 133038.

Almost surely, 252737480 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 52737480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91018620).

52737480 is an abundant number, since it is smaller than the sum of its proper divisors (129299760).

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

52737480 is a wasteful number, since it uses less digits than its factorization.

52737480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 52737480 is about 7262.0575596727. The cubic root of 52737480 is about 375.0073598556.

The spelling of 52737480 in words is "fifty-two million, seven hundred thirty-seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 41 45 54 60 72 81 82 90 108 120 123 135 162 164 180 205 216 246 270 324 328 360 369 397 405 410 492 540 615 648 738 794 810 820 984 1080 1107 1191 1230 1476 1588 1620 1640 1845 1985 2214 2382 2460 2952 3176 3240 3321 3573 3690 3970 4428 4764 4920 5535 5955 6642 7146 7380 7940 8856 9528 10719 11070 11910 13284 14292 14760 15880 16277 16605 17865 21438 22140 23820 26568 28584 32157 32554 33210 35730 42876 44280 47640 48831 53595 64314 65108 66420 71460 81385 85752 97662 107190 128628 130216 132840 142920 146493 160785 162770 195324 214380 244155 257256 292986 321570 325540 390648 428760 439479 488310 585972 643140 651080 732465 878958 976620 1171944 1286280 1318437 1464930 1757916 1953240 2197395 2636874 2929860 3515832 4394790 5273748 5859720 6592185 8789580 10547496 13184370 17579160 26368740 52737480