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52385970 = 23571331619
BaseRepresentation
bin1100011111010…
…1100010110010
310122120111001010
43013311202302
5101402322340
65110451350
71204162530
oct307654262
9118514033
1052385970
112763039a
1215663b56
13ab12420
146d59150
1548ebb80
hex31f58b2

52385970 has 128 divisors (see below), whose sum is σ = 159989760. Its totient is φ = 10679040.

The previous prime is 52385953. The next prime is 52385999. The reversal of 52385970 is 7958325.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84321 + ... + 84939.

It is an arithmetic number, because the mean of its divisors is an integer number (1249920).

Almost surely, 252385970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52385970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79994880).

52385970 is an abundant number, since it is smaller than the sum of its proper divisors (107603790).

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

52385970 is a wasteful number, since it uses less digits than its factorization.

52385970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680.

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 52385970 is about 7237.8152781071. The cubic root of 52385970 is about 374.1723256690.

The spelling of 52385970 in words is "fifty-two million, three hundred eighty-five thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 31 35 39 42 62 65 70 78 91 93 105 130 155 182 186 195 210 217 273 310 390 403 434 455 465 546 619 651 806 910 930 1085 1209 1238 1302 1365 1857 2015 2170 2418 2730 2821 3095 3255 3714 4030 4333 5642 6045 6190 6510 8047 8463 8666 9285 12090 12999 14105 16094 16926 18570 19189 21665 24141 25998 28210 38378 40235 42315 43330 48282 56329 57567 64995 80470 84630 95945 112658 115134 120705 129990 134323 168987 191890 241410 249457 268646 281645 287835 337974 402969 498914 563290 575670 671615 748371 805938 844935 1247285 1343230 1496742 1689870 1746199 2014845 2494570 3492398 3741855 4029690 5238597 7483710 8730995 10477194 17461990 26192985 52385970