Search a number
-
+
52405080 = 23357134799
BaseRepresentation
bin1100011111101…
…0001101011000
310122121110020220
43013322031120
5101403430310
65111120040
71204302330
oct307721530
9118543226
1052405080
1127643792
1215673020
13ab1b030
146d620c0
154902670
hex31fa358

52405080 has 128 divisors (see below), whose sum is σ = 193536000. Its totient is φ = 11054592.

The previous prime is 52405079. The next prime is 52405081. The reversal of 52405080 is 8050425.

It is an interprime number because it is at equal distance from previous prime (52405079) and next prime (52405081).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 52405080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52405081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8521 + ... + 13319.

It is an arithmetic number, because the mean of its divisors is an integer number (1512000).

Almost surely, 252405080 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 52405080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96768000).

52405080 is an abundant number, since it is smaller than the sum of its proper divisors (141130920).

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

52405080 is a wasteful number, since it uses less digits than its factorization.

52405080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4833 (or 4829 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 52405080 is about 7239.1353074798. The cubic root of 52405080 is about 374.2178185356.

The spelling of 52405080 in words is "fifty-two million, four hundred five thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 4799 5460 9598 10920 14397 19196 23995 28794 33593 38392 47990 57588 62387 67186 71985 95980 100779 115176 124774 134372 143970 167965 187161 191960 201558 249548 268744 287940 311935 335930 374322 403116 436709 499096 503895 575880 623870 671860 748644 806232 873418 935805 1007790 1247740 1310127 1343720 1497288 1746836 1871610 2015580 2183545 2495480 2620254 3493672 3743220 4031160 4367090 5240508 6550635 7486440 8734180 10481016 13101270 17468360 26202540 52405080