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52212440 = 23572171567
BaseRepresentation
bin1100011100101…
…1001011011000
310122020200000002
43013023023120
5101331244230
65103032132
71202540600
oct307131330
9118220002
1052212440
1127521a85
121559b648
13aa81447
146d11c00
1548b5545
hex31cb2d8

52212440 has 96 divisors (see below), whose sum is σ = 144789120. Its totient is φ = 16837632.

The previous prime is 52212427. The next prime is 52212487. The reversal of 52212440 is 4421225.

It is a happy number.

52212440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×522124402 = 5452277781507200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32537 + ... + 34103.

It is an arithmetic number, because the mean of its divisors is an integer number (1508220).

Almost surely, 252212440 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 52212440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72394560).

52212440 is an abundant number, since it is smaller than the sum of its proper divisors (92576680).

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

52212440 is a wasteful number, since it uses less digits than its factorization.

52212440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 52212440 is about 7225.8176007979. The cubic root of 52212440 is about 373.7587165150.

Adding to 52212440 its reverse (4421225), we get a palindrome (56633665).

The spelling of 52212440 in words is "fifty-two million, two hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 49 56 68 70 85 98 119 136 140 170 196 238 245 280 340 392 476 490 595 680 833 952 980 1190 1567 1666 1960 2380 3134 3332 4165 4760 6268 6664 7835 8330 10969 12536 15670 16660 21938 26639 31340 33320 43876 53278 54845 62680 76783 87752 106556 109690 133195 153566 186473 213112 219380 266390 307132 372946 383915 438760 532780 614264 745892 767830 932365 1065560 1305311 1491784 1535660 1864730 2610622 3071320 3729460 5221244 6526555 7458920 10442488 13053110 26106220 52212440