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52373440 = 2657103227
BaseRepresentation
bin1100011111001…
…0011111000000
310122112211212001
43013302133000
5101401422230
65110313344
71204111150
oct307623700
9118484761
1052373440
1127621a39
1215658854
13ab09802
146d54760
1548e80ca
hex31f27c0

52373440 has 112 divisors (see below), whose sum is σ = 144548352. Its totient is φ = 17703936.

The previous prime is 52373429. The next prime is 52373459. The reversal of 52373440 is 4437325.

52373440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 52373399 and 52373408.

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 15 ways as a sum of consecutive naturals, for example, 230607 + ... + 230833.

Almost surely, 252373440 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 52373440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72274176).

52373440 is an abundant number, since it is smaller than the sum of its proper divisors (92174912).

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

52373440 is a wasteful number, since it uses less digits than its factorization.

52373440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 28.

The square root of 52373440 is about 7236.9496336509. The cubic root of 52373440 is about 374.1424910072.

The spelling of 52373440 in words is "fifty-two million, three hundred seventy-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 103 112 140 160 206 224 227 280 320 412 448 454 515 560 721 824 908 1030 1120 1135 1442 1589 1648 1816 2060 2240 2270 2884 3178 3296 3605 3632 4120 4540 5768 6356 6592 7210 7264 7945 8240 9080 11536 12712 14420 14528 15890 16480 18160 23072 23381 25424 28840 31780 32960 36320 46144 46762 50848 57680 63560 72640 93524 101696 115360 116905 127120 163667 187048 230720 233810 254240 327334 374096 467620 508480 654668 748192 818335 935240 1309336 1496384 1636670 1870480 2618672 3273340 3740960 5237344 6546680 7481920 10474688 13093360 26186720 52373440