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3690488490 = 2351321017207
BaseRepresentation
bin1101101111111000…
…0110001010101010
3100112012022020110220
43123332012022222
530024231112430
61410111550510
7160311430443
oct33376061252
910465266426
103690488490
111624203697
1286bb2b436
1346a773500
142701c62ca
15168ed8110
hexdbf862aa

3690488490 has 96 divisors (see below), whose sum is σ = 9687206016. Its totient is φ = 899308800.

The previous prime is 3690488489. The next prime is 3690488497. The reversal of 3690488490 is 948840963.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3690488497) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 508467 + ... + 515673.

It is an arithmetic number, because the mean of its divisors is an integer number (100908396).

Almost surely, 23690488490 is an apocalyptic number.

3690488490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3690488490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4843603008).

3690488490 is an abundant number, since it is smaller than the sum of its proper divisors (5996717526).

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

3690488490 is a wasteful number, since it uses less digits than its factorization.

3690488490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7344 (or 7331 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 3690488490 is about 60749.3908611436. The cubic root of 3690488490 is about 1545.3538972086.

The spelling of 3690488490 in words is "three billion, six hundred ninety million, four hundred eighty-eight thousand, four hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 101 130 169 195 202 303 338 390 505 507 606 845 1010 1014 1313 1515 1690 2535 2626 3030 3939 5070 6565 7207 7878 13130 14414 17069 19695 21621 34138 36035 39390 43242 51207 72070 85345 93691 102414 108105 170690 187382 216210 256035 281073 468455 512070 562146 727907 936910 1217983 1405365 1455814 2183721 2435966 2810730 3639535 3653949 4367442 6089915 7279070 7307898 9462791 10918605 12179830 18269745 18925582 21837210 28388373 36539490 47313955 56776746 94627910 123016283 141941865 246032566 283883730 369048849 615081415 738097698 1230162830 1845244245 3690488490