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5195664 = 243419211
BaseRepresentation
bin10011110100011110010000
3100202222010000
4103310132100
52312230124
6303210000
762106465
oct23643620
910688100
105195664
112a29641
1218a6900
1310cbb76
1499366c
156c96c9
hex4f4790

5195664 has 100 divisors (see below), whose sum is σ = 15904240. Its totient is φ = 1632960.

The previous prime is 5195657. The next prime is 5195737. The reversal of 5195664 is 4665915.

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

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 19 ways as a sum of consecutive naturals, for example, 24519 + ... + 24729.

Almost surely, 25195664 is an apocalyptic number.

5195664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5195664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7952120).

5195664 is an abundant number, since it is smaller than the sum of its proper divisors (10708576).

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

5195664 is a wasteful number, since it uses less digits than its factorization.

5195664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 235 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 5195664 is about 2279.3999210318. The cubic root of 5195664 is about 173.1996536679.

The spelling of 5195664 in words is "five million, one hundred ninety-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 211 216 228 304 324 342 422 432 456 513 633 648 684 844 912 1026 1266 1296 1368 1539 1688 1899 2052 2532 2736 3078 3376 3798 4009 4104 5064 5697 6156 7596 8018 8208 10128 11394 12027 12312 15192 16036 17091 22788 24054 24624 30384 32072 34182 36081 45576 48108 64144 68364 72162 91152 96216 108243 136728 144324 192432 216486 273456 288648 324729 432972 577296 649458 865944 1298916 1731888 2597832 5195664