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5290896 = 2431361139
BaseRepresentation
bin10100001011101110010000
3100221210202010
4110023232100
52323302041
6305222520
762654232
oct24135620
910853663
105290896
112a94146
121931a40
131133310
149ba252
156e7a16
hex50bb90

5290896 has 80 divisors (see below), whose sum is σ = 15068480. Its totient is φ = 1589760.

The previous prime is 5290877. The next prime is 5290907. The reversal of 5290896 is 6980925.

It is a happy number.

It is a super-3 number, since 3×52908963 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 37995 + ... + 38133.

It is an arithmetic number, because the mean of its divisors is an integer number (188356).

Almost surely, 25290896 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 5290896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7534240).

5290896 is an abundant number, since it is smaller than the sum of its proper divisors (9777584).

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

5290896 is a wasteful number, since it uses less digits than its factorization.

5290896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 5290896 is about 2300.1947743615. The cubic root of 5290896 is about 174.2514530624.

The spelling of 5290896 in words is "five million, two hundred ninety thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 61 78 104 122 139 156 183 208 244 278 312 366 417 488 556 624 732 793 834 976 1112 1464 1586 1668 1807 2224 2379 2928 3172 3336 3614 4758 5421 6344 6672 7228 8479 9516 10842 12688 14456 16958 19032 21684 25437 28912 33916 38064 43368 50874 67832 86736 101748 110227 135664 203496 220454 330681 406992 440908 661362 881816 1322724 1763632 2645448 5290896