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4760476952 = 2371117835477
BaseRepresentation
bin1000110111011111…
…10001110100011000
3110021202200021201012
410123233301310120
534222140230302
62104213313052
7225653246360
oct43357616430
913252607635
104760476952
11202318a880
12b0a335788
135ab346b8a
143323519a0
151ccde1a52
hex11bbf1d18

4760476952 has 128 divisors (see below), whose sum is σ = 11927139840. Its totient is φ = 1724282880.

The previous prime is 4760476937. The next prime is 4760476967. The reversal of 4760476952 is 2596740674.

It is an interprime number because it is at equal distance from previous prime (4760476937) and next prime (4760476967).

It is a self number, because there is not a number n which added to its sum of digits gives 4760476952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 866438 + ... + 871914.

It is an arithmetic number, because the mean of its divisors is an integer number (93180780).

Almost surely, 24760476952 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 4760476952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5963569920).

4760476952 is an abundant number, since it is smaller than the sum of its proper divisors (7166662888).

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

4760476952 is a wasteful number, since it uses less digits than its factorization.

4760476952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5601 (or 5597 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 50.

The square root of 4760476952 is about 68996.2096929969. The cubic root of 4760476952 is about 1682.2226995273. Note that the first 3 decimals are identical.

The spelling of 4760476952 in words is "four billion, seven hundred sixty million, four hundred seventy-six thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 56 68 77 83 88 119 136 154 166 187 238 308 332 374 476 581 616 664 748 913 952 1162 1309 1411 1496 1826 2324 2618 2822 3652 4648 5236 5477 5644 6391 7304 9877 10472 10954 11288 12782 15521 19754 21908 25564 31042 38339 39508 43816 51128 60247 62084 76678 79016 93109 108647 120494 124168 153356 186218 217294 240988 306712 372436 421729 434588 454591 481976 651763 744872 843458 869176 909182 1024199 1303526 1686916 1818364 2048398 2607052 3182137 3373832 3636728 4096796 5000501 5214104 6364274 7169393 7728047 8193592 10001002 12728548 14338786 15456094 20002004 25457096 28677572 30912188 35003507 40004008 54096329 57355144 61824376 70007014 85008517 108192658 140014028 170017034 216385316 280028056 340034068 432770632 595059619 680068136 1190119238 2380238476 4760476952