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52991440 = 24559103109
BaseRepresentation
bin1100101000100…
…1010111010000
310200201020120221
43022021113100
5102031211230
65131442424
71212263665
oct312112720
9120636527
1052991440
1127a04287
12158b6414
13ac94ba8
147075a6c
1549bb27a
hex32895d0

52991440 has 80 divisors (see below), whose sum is σ = 127670400. Its totient is φ = 20445696.

The previous prime is 52991417. The next prime is 52991441. The reversal of 52991440 is 4419925.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 52991396 and 52991405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52991441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 486106 + ... + 486214.

It is an arithmetic number, because the mean of its divisors is an integer number (1595880).

Almost surely, 252991440 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 52991440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63835200).

52991440 is an abundant number, since it is smaller than the sum of its proper divisors (74678960).

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

52991440 is a wasteful number, since it uses less digits than its factorization.

52991440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 52991440 is about 7279.5219623269. The cubic root of 52991440 is about 375.6083518138.

The spelling of 52991440 in words is "fifty-two million, nine hundred ninety-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 103 109 118 206 218 236 295 412 436 472 515 545 590 824 872 944 1030 1090 1180 1648 1744 2060 2180 2360 4120 4360 4720 6077 6431 8240 8720 11227 12154 12862 22454 24308 25724 30385 32155 44908 48616 51448 56135 60770 64310 89816 97232 102896 112270 121540 128620 179632 224540 243080 257240 449080 486160 514480 662393 898160 1324786 2649572 3311965 5299144 6623930 10598288 13247860 26495720 52991440