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5437296 = 243261619
BaseRepresentation
bin10100101111011101110000
3101020020120100
4110233131300
52342443141
6312312400
764134114
oct24573560
911206510
105437296
113084137
1219a2700
131184b47
14a17744
157260b6
hex52f770

5437296 has 60 divisors (see below), whose sum is σ = 15491320. Its totient is φ = 1779840.

The previous prime is 5437291. The next prime is 5437301. The reversal of 5437296 is 6927345.

It is an interprime number because it is at equal distance from previous prime (5437291) and next prime (5437301).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5437296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5437291) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 8475 + ... + 9093.

Almost surely, 25437296 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 5437296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7745660).

5437296 is an abundant number, since it is smaller than the sum of its proper divisors (10054024).

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

5437296 is a wasteful number, since it uses less digits than its factorization.

5437296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 685 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 5437296 is about 2331.8010206705. The cubic root of 5437296 is about 175.8440422838.

The spelling of 5437296 in words is "five million, four hundred thirty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 619 732 976 1098 1238 1464 1857 2196 2476 2928 3714 4392 4952 5571 7428 8784 9904 11142 14856 22284 29712 37759 44568 75518 89136 113277 151036 226554 302072 339831 453108 604144 679662 906216 1359324 1812432 2718648 5437296