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5237376 = 27323593
BaseRepresentation
bin10011111110101010000000
3100212002022220
4103332222000
52320044001
6304131040
762342214
oct23765200
910762286
105237376
112a57a11
121906a80
131114b51
149a4944
156d6c36
hex4fea80

5237376 has 64 divisors (see below), whose sum is σ = 14541120. Its totient is φ = 1667072.

The previous prime is 5237347. The next prime is 5237389. The reversal of 5237376 is 6737325.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8536 + ... + 9128.

It is an arithmetic number, because the mean of its divisors is an integer number (227205).

Almost surely, 25237376 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 5237376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7270560).

5237376 is an abundant number, since it is smaller than the sum of its proper divisors (9303744).

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

5237376 is a wasteful number, since it uses less digits than its factorization.

5237376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 621 counting only the distinct ones).

The product of its digits is 26460, while the sum is 33.

The square root of 5237376 is about 2288.5314068197. The cubic root of 5237376 is about 173.6619145320.

The spelling of 5237376 in words is "five million, two hundred thirty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 593 736 1104 1186 1472 1779 2208 2372 2944 3558 4416 4744 7116 8832 9488 13639 14232 18976 27278 28464 37952 40917 54556 56928 75904 81834 109112 113856 163668 218224 227712 327336 436448 654672 872896 1309344 1745792 2618688 5237376