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5126976 = 26342343
BaseRepresentation
bin10011100011101101000000
3100122110220000
4103203231000
52303030401
6301520000
761402311
oct23435500
910573800
105126976
112991a78
121873000
1310a681a
14976608
156b4186
hex4e3b40

5126976 has 140 divisors (see below), whose sum is σ = 16227552. Its totient is φ = 1596672.

The previous prime is 5126971. The next prime is 5126977. The reversal of 5126976 is 6796215.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

Its product of digits (22680) is a multiple of the sum of its prime factors (90).

It is a self number, because there is not a number n which added to its sum of digits gives 5126976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5126971) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119211 + ... + 119253.

Almost surely, 25126976 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 5126976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8113776).

5126976 is an abundant number, since it is smaller than the sum of its proper divisors (11100576).

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

5126976 is a wasteful number, since it uses less digits than its factorization.

5126976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 71 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 5126976 is about 2264.2826678664. The cubic root of 5126976 is about 172.4330174720.

The spelling of 5126976 in words is "five million, one hundred twenty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 43 46 48 54 64 69 72 81 86 92 96 108 129 138 144 162 172 184 192 207 216 258 276 288 324 344 368 387 414 432 516 552 576 621 648 688 736 774 828 864 989 1032 1104 1161 1242 1296 1376 1472 1548 1656 1728 1863 1978 2064 2208 2322 2484 2592 2752 2967 3096 3312 3483 3726 3956 4128 4416 4644 4968 5184 5934 6192 6624 6966 7452 7912 8256 8901 9288 9936 11868 12384 13248 13932 14904 15824 17802 18576 19872 23736 24768 26703 27864 29808 31648 35604 37152 39744 47472 53406 55728 59616 63296 71208 74304 80109 94944 106812 111456 119232 142416 160218 189888 213624 222912 284832 320436 427248 569664 640872 854496 1281744 1708992 2563488 5126976