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2470397952 = 21131123323
BaseRepresentation
bin1001001100111111…
…0100100000000000
320101011111012220110
42103033310200000
520024410213302
61045045111320
7115135015251
oct22317644000
96334435813
102470397952
111058525600
1258b3b8540
13304a66649
14196146b28
15e6d2eb6c
hex933f4800

2470397952 has 144 divisors (see below), whose sum is σ = 7241466960. Its totient is φ = 748380160.

The previous prime is 2470397939. The next prime is 2470397957. The reversal of 2470397952 is 2597930742.

It is a super-3 number, since 3×24703979523 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2470397957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 741763 + ... + 745085.

It is an arithmetic number, because the mean of its divisors is an integer number (50287965).

Almost surely, 22470397952 is an apocalyptic number.

2470397952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2470397952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3620733480).

2470397952 is an abundant number, since it is smaller than the sum of its proper divisors (4771069008).

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

2470397952 is a wasteful number, since it uses less digits than its factorization.

2470397952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The square root of 2470397952 is about 49703.0980120958. The cubic root of 2470397952 is about 1351.8307036830.

The spelling of 2470397952 in words is "two billion, four hundred seventy million, three hundred ninety-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 512 528 704 726 768 968 1024 1056 1408 1452 1536 1936 2048 2112 2816 2904 3072 3323 3872 4224 5632 5808 6144 6646 7744 8448 9969 11264 11616 13292 15488 16896 19938 22528 23232 26584 30976 33792 36553 39876 46464 53168 61952 67584 73106 79752 92928 106336 109659 123904 146212 159504 185856 212672 219318 247808 292424 319008 371712 402083 425344 438636 584848 638016 743424 804166 850688 877272 1169696 1206249 1276032 1608332 1701376 1754544 2339392 2412498 2552064 3216664 3402752 3509088 4678784 4824996 5104128 6433328 6805504 7018176 9357568 9649992 10208256 12866656 14036352 18715136 19299984 20416512 25733312 28072704 37430272 38599968 51466624 56145408 74860544 77199936 102933248 112290816 154399872 205866496 224581632 308799744 411732992 617599488 823465984 1235198976 2470397952