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52729440 = 2535372969
BaseRepresentation
bin1100100100100…
…1011001100000
310200012221012020
43021021121200
5101444320230
65122101440
71210123101
oct311113140
9120187166
1052729440
1127845455
12157aa880
13ac0286a
1470083a8
154968810
hex3249660

52729440 has 96 divisors (see below), whose sum is σ = 170644320. Its totient is φ = 13676544.

The previous prime is 52729429. The next prime is 52729447. The reversal of 52729440 is 4492725.

52729440 = 8762 + 8772 + ... + 9392.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52729447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16276 + ... + 19244.

It is an arithmetic number, because the mean of its divisors is an integer number (1777545).

Almost surely, 252729440 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 52729440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85322160).

52729440 is an abundant number, since it is smaller than the sum of its proper divisors (117914880).

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

52729440 is a wasteful number, since it uses less digits than its factorization.

52729440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3024 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 52729440 is about 7261.5039764501. The cubic root of 52729440 is about 374.9883018573.

The spelling of 52729440 in words is "fifty-two million, seven hundred twenty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 96 111 120 148 160 185 222 240 296 370 444 480 555 592 740 888 1110 1184 1480 1776 2220 2960 2969 3552 4440 5920 5938 8880 8907 11876 14845 17760 17814 23752 29690 35628 44535 47504 59380 71256 89070 95008 109853 118760 142512 178140 219706 237520 285024 329559 356280 439412 475040 549265 659118 712560 878824 1098530 1318236 1425120 1647795 1757648 2197060 2636472 3295590 3515296 4394120 5272944 6591180 8788240 10545888 13182360 17576480 26364720 52729440