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52946920 = 235131923233
BaseRepresentation
bin1100100111111…
…0011111101000
310200121222112001
43021332133220
5102023300140
65130500344
71212020125
oct311763750
9120558461
1052946920
1127983894
12158946b4
13ac7a850
14706374c
1549ace9a
hex327e7e8

52946920 has 128 divisors (see below), whose sum is σ = 141523200. Its totient is φ = 17639424.

The previous prime is 52946911. The next prime is 52946921. The reversal of 52946920 is 2964925.

It is a self number, because there is not a number n which added to its sum of digits gives 52946920.

It is not an unprimeable number, because it can be changed into a prime (52946921) 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, 227124 + ... + 227356.

It is an arithmetic number, because the mean of its divisors is an integer number (1105650).

Almost surely, 252946920 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 52946920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70761600).

52946920 is an abundant number, since it is smaller than the sum of its proper divisors (88576280).

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

52946920 is a wasteful number, since it uses less digits than its factorization.

52946920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 52946920 is about 7276.4634266929. The cubic root of 52946920 is about 375.5031350155.

The spelling of 52946920 in words is "fifty-two million, nine hundred forty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 19 20 23 26 38 40 46 52 65 76 92 95 104 115 130 152 184 190 230 233 247 260 299 380 437 460 466 494 520 598 760 874 920 932 988 1165 1196 1235 1495 1748 1864 1976 2185 2330 2392 2470 2990 3029 3496 4370 4427 4660 4940 5359 5681 5980 6058 8740 8854 9320 9880 10718 11362 11960 12116 15145 17480 17708 21436 22135 22724 24232 26795 28405 30290 35416 42872 44270 45448 53590 56810 57551 60580 69667 88540 101821 107180 113620 115102 121160 139334 177080 203642 214360 227240 230204 278668 287755 348335 407284 460408 509105 557336 575510 696670 814568 1018210 1151020 1323673 1393340 2036420 2302040 2647346 2786680 4072840 5294692 6618365 10589384 13236730 26473460 52946920