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52769640 = 23357115711
BaseRepresentation
bin1100100101001…
…1001101101000
310200021222100010
43021103031220
5102002112030
65123011520
71210351230
oct311231550
9120258303
1052769640
1127872680
1215809ba0
13ac17c51
147018cc0
1549756b0
hex3253368

52769640 has 128 divisors (see below), whose sum is σ = 197406720. Its totient is φ = 10963200.

The previous prime is 52769627. The next prime is 52769641. The reversal of 52769640 is 4696725.

52769640 = T253 + T254 + ... + T692.

It is not an unprimeable number, because it can be changed into a prime (52769641) 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, 6385 + ... + 12095.

It is an arithmetic number, because the mean of its divisors is an integer number (1542240).

Almost surely, 252769640 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 52769640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98703360).

52769640 is an abundant number, since it is smaller than the sum of its proper divisors (144637080).

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

52769640 is a wasteful number, since it uses less digits than its factorization.

52769640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5743 (or 5739 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 52769640 is about 7264.2714706982. The cubic root of 52769640 is about 375.0835724848.

The spelling of 52769640 in words is "fifty-two million, seven hundred sixty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 5711 9240 11422 17133 22844 28555 34266 39977 45688 57110 62821 68532 79954 85665 114220 119931 125642 137064 159908 171330 188463 199885 228440 239862 251284 314105 319816 342660 376926 399770 439747 479724 502568 599655 628210 685320 753852 799540 879494 942315 959448 1199310 1256420 1319241 1507704 1599080 1758988 1884630 2198735 2398620 2512840 2638482 3517976 3769260 4397470 4797240 5276964 6596205 7538520 8794940 10553928 13192410 17589880 26384820 52769640