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490173696 = 2832415189
BaseRepresentation
bin11101001101110…
…111010100000000
31021011100101220100
4131031313110000
52000441024241
6120350042400
715101256555
oct3515672400
91234311810
10490173696
11231765831
121181a9400
137a72460c
1449158a2c
152d0769b6
hex1d377500

490173696 has 108 divisors (see below), whose sum is σ = 1448041140. Its totient is φ = 159375360.

The previous prime is 490173667. The next prime is 490173701. The reversal of 490173696 is 696371094.

490173696 is a `hidden beast` number, since 490 + 1 + 73 + 6 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 183223296 + 306950400 = 13536^2 + 17520^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91870 + ... + 97058.

Almost surely, 2490173696 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 490173696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724020570).

490173696 is an abundant number, since it is smaller than the sum of its proper divisors (957867444).

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

490173696 is a wasteful number, since it uses less digits than its factorization.

490173696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5252 (or 5235 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 490173696 is about 22139.8666662652. The cubic root of 490173696 is about 788.4666599492.

The spelling of 490173696 in words is "four hundred ninety million, one hundred seventy-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 256 288 328 369 384 492 576 656 738 768 984 1152 1312 1476 1968 2304 2624 2952 3936 5189 5248 5904 7872 10378 10496 11808 15567 15744 20756 23616 31134 31488 41512 46701 47232 62268 83024 93402 94464 124536 166048 186804 212749 249072 332096 373608 425498 498144 638247 664192 747216 850996 996288 1276494 1328384 1494432 1701992 1914741 1992576 2552988 2988864 3403984 3829482 3985152 5105976 5977728 6807968 7658964 10211952 11955456 13615936 15317928 20423904 27231872 30635856 40847808 54463744 61271712 81695616 122543424 163391232 245086848 490173696