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8629607490 = 2357174751431
BaseRepresentation
bin10000000100101110…
…10101110001000010
3211021102010111000020
420002113111301002
5120133134414430
63544150234310
7423564311340
oct100227256102
924242114006
108629607490
113729208919
12180a055996
13a76b0712a
145bc15a990
15357915b10
hex2025d5c42

8629607490 has 128 divisors (see below), whose sum is σ = 25595854848. Its totient is φ = 1816919040.

The previous prime is 8629607477. The next prime is 8629607531. The reversal of 8629607490 is 947069268.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 63 ways as a sum of consecutive naturals, for example, 142075 + ... + 193505.

It is an arithmetic number, because the mean of its divisors is an integer number (199967616).

Almost surely, 28629607490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8629607490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12797927424).

8629607490 is an abundant number, since it is smaller than the sum of its proper divisors (16966247358).

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

8629607490 is a wasteful number, since it uses less digits than its factorization.

8629607490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51512.

The product of its (nonzero) digits is 1306368, while the sum is 51.

The square root of 8629607490 is about 92895.6806853796. The cubic root of 8629607490 is about 2051.1480771198.

The spelling of 8629607490 in words is "eight billion, six hundred twenty-nine million, six hundred seven thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 47 51 70 85 94 102 105 119 141 170 210 235 238 255 282 329 357 470 510 595 658 705 714 799 987 1190 1410 1598 1645 1785 1974 2397 3290 3570 3995 4794 4935 5593 7990 9870 11186 11985 16779 23970 27965 33558 51431 55930 83895 102862 154293 167790 257155 308586 360017 514310 720034 771465 874327 1080051 1542930 1748654 1800085 2160102 2417257 2622981 3600170 4371635 4834514 5245962 5400255 6120289 7251771 8743270 10800510 12086285 12240578 13114905 14503542 16920799 18360867 24172570 26229810 30601445 33841598 36258855 36721734 41093369 50762397 61202890 72517710 82186738 84603995 91804335 101524794 123280107 169207990 183608670 205466845 246560214 253811985 287653583 410933690 507623970 575307166 616400535 862960749 1232801070 1438267915 1725921498 2876535830 4314803745 8629607490