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290148096 = 2837311741
BaseRepresentation
bin10001010010110…
…100111100000000
3202012222001100210
4101102310330000
51043234214341
644442514120
710122134550
oct2122647400
9665861323
10290148096
11139865617
1281205940
134815b784
142a76b160
151a714c16
hex114b4f00

290148096 has 144 divisors (see below), whose sum is σ = 911525888. Its totient is φ = 80179200.

The previous prime is 290148091. The next prime is 290148097. The reversal of 290148096 is 690841092.

It is a super-2 number, since 2×2901480962 = 168371835224850432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290148091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165786 + ... + 167526.

Almost surely, 2290148096 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 290148096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455762944).

290148096 is an abundant number, since it is smaller than the sum of its proper divisors (621377792).

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

290148096 is a wasteful number, since it uses less digits than its factorization.

290148096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 290148096 is about 17033.7340592132. The cubic root of 290148096 is about 662.0232495493.

The spelling of 290148096 in words is "two hundred ninety million, one hundred forty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 336 372 384 434 448 496 651 672 744 768 868 896 992 1302 1344 1488 1736 1741 1792 1984 2604 2688 2976 3472 3482 3968 5208 5223 5376 5952 6944 6964 7936 10416 10446 11904 12187 13888 13928 20832 20892 23808 24374 27776 27856 36561 41664 41784 48748 53971 55552 55712 73122 83328 83568 97496 107942 111424 146244 161913 166656 167136 194992 215884 222848 292488 323826 334272 377797 389984 431768 445696 584976 647652 668544 755594 779968 863536 1133391 1169952 1295304 1337088 1511188 1559936 1727072 2266782 2339904 2590608 3022376 3119872 3454144 4533564 4679808 5181216 6044752 6908288 9067128 9359616 10362432 12089504 13816576 18134256 20724864 24179008 36268512 41449728 48358016 72537024 96716032 145074048 290148096