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6290475040 = 255711573527
BaseRepresentation
bin1011101101111000…
…10000100000100000
3121020101122020112001
411312330100200200
5100340330200130
62520110413344
7311612104243
oct56674204040
917211566461
106290475040
11273889a003
121276801254
137933102a5
1443962325a
1526c3b46ca
hex176f10820

6290475040 has 96 divisors (see below), whose sum is σ = 15170851584. Its totient is φ = 2464250880.

The previous prime is 6290475013. The next prime is 6290475119. The reversal of 6290475040 is 405740926.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1781757 + ... + 1785283.

It is an arithmetic number, because the mean of its divisors is an integer number (158029704).

Almost surely, 26290475040 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 6290475040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7585425792).

6290475040 is an abundant number, since it is smaller than the sum of its proper divisors (8880376544).

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

6290475040 is a wasteful number, since it uses less digits than its factorization.

6290475040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770 (or 3762 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 6290475040 is about 79312.5150275793. The cubic root of 6290475040 is about 1845.9834984774.

The spelling of 6290475040 in words is "six billion, two hundred ninety million, four hundred seventy-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 157 160 284 314 355 568 628 710 785 1136 1256 1420 1570 2272 2512 2840 3140 3527 5024 5680 6280 7054 11147 11360 12560 14108 17635 22294 25120 28216 35270 44588 55735 56432 70540 89176 111470 112864 141080 178352 222940 250417 282160 356704 445880 500834 553739 564320 891760 1001668 1107478 1252085 1783520 2003336 2214956 2504170 2768695 4006672 4429912 5008340 5537390 8013344 8859824 10016680 11074780 17719648 20033360 22149560 39315469 40066720 44299120 78630938 88598240 157261876 196577345 314523752 393154690 629047504 786309380 1258095008 1572618760 3145237520 6290475040