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53332740 = 223251729601
BaseRepresentation
bin1100101101110…
…0101100000100
310201100120202200
43023130230010
5102123121430
65143034500
71215215016
oct313345404
9121316680
1053332740
112811774a
1215a3ba30
13b084346
1471241b6
154a37460
hex32dcb04

53332740 has 144 divisors (see below), whose sum is σ = 177493680. Its totient is φ = 12902400.

The previous prime is 53332717. The next prime is 53332777. The reversal of 53332740 is 4723335.

It can be written as a sum of positive squares in 8 ways, for example, as 3968064 + 49364676 = 1992^2 + 7026^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88440 + ... + 89040.

It is an arithmetic number, because the mean of its divisors is an integer number (1232595).

Almost surely, 253332740 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 53332740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88746840).

53332740 is an abundant number, since it is smaller than the sum of its proper divisors (124160940).

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

53332740 is a wasteful number, since it uses less digits than its factorization.

53332740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 53332740 is about 7302.9268105329. The cubic root of 53332740 is about 376.4130156771.

The spelling of 53332740 in words is "fifty-three million, three hundred thirty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 29 30 34 36 45 51 58 60 68 85 87 90 102 116 145 153 170 174 180 204 255 261 290 306 340 348 435 493 510 522 580 601 612 765 870 986 1020 1044 1202 1305 1479 1530 1740 1803 1972 2404 2465 2610 2958 3005 3060 3606 4437 4930 5220 5409 5916 6010 7212 7395 8874 9015 9860 10217 10818 12020 14790 17429 17748 18030 20434 21636 22185 27045 29580 30651 34858 36060 40868 44370 51085 52287 54090 61302 69716 87145 88740 91953 102170 104574 108180 122604 153255 156861 174290 183906 204340 209148 261435 296293 306510 313722 348580 367812 459765 522870 592586 613020 627444 784305 888879 919530 1045740 1185172 1481465 1568610 1777758 1839060 2666637 2962930 3137220 3555516 4444395 5333274 5925860 8888790 10666548 13333185 17777580 26666370 53332740