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490966616 = 237372111123
BaseRepresentation
bin11101010000111…
…000111001011000
31021012211200120202
4131100320321120
52001141412431
6120415041332
715111101360
oct3520707130
91235750522
10490966616
11232157538
12118510248
137a9414ba
14492c39a0
152d1818cb
hex1d438e58

490966616 has 64 divisors (see below), whose sum is σ = 1086593280. Its totient is φ = 203575680.

The previous prime is 490966603. The next prime is 490966621. The reversal of 490966616 is 616669094.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 436631 + ... + 437753.

It is an arithmetic number, because the mean of its divisors is an integer number (16978020).

Almost surely, 2490966616 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 490966616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543296640).

490966616 is an abundant number, since it is smaller than the sum of its proper divisors (595626664).

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

490966616 is a wasteful number, since it uses less digits than its factorization.

490966616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 47.

The square root of 490966616 is about 22157.7664939407. The cubic root of 490966616 is about 788.8915801917.

The spelling of 490966616 in words is "four hundred ninety million, nine hundred sixty-six thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 211 259 296 422 518 844 1036 1123 1477 1688 2072 2246 2954 4492 5908 7807 7861 8984 11816 15614 15722 31228 31444 41551 54649 62456 62888 83102 109298 166204 218596 236953 290857 332408 437192 473906 581714 947812 1163428 1658671 1895624 2326856 3317342 6634684 8767261 13269368 17534522 35069044 61370827 70138088 122741654 245483308 490966616