Search a number
-
+
2026752 = 28371329
BaseRepresentation
bin111101110110100000000
310210222011220
413232310000
51004324002
6111235040
723140620
oct7566400
93728156
102026752
111164802
12818a80
1355c680
143aa880
152a07bc
hex1eed00

2026752 has 144 divisors (see below), whose sum is σ = 6867840. Its totient is φ = 516096.

The previous prime is 2026751. The next prime is 2026763. The reversal of 2026752 is 2576202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2026751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69874 + ... + 69902.

22026752 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 2026752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3433920).

2026752 is an abundant number, since it is smaller than the sum of its proper divisors (4841088).

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

2026752 is a wasteful number, since it uses less digits than its factorization.

2026752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 2026752 is about 1423.6404040347. The cubic root of 2026752 is about 126.5513755502.

2026752 divided by its sum of digits (24) gives a palindrome (84448).

The spelling of 2026752 in words is "two million, twenty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 29 32 39 42 48 52 56 58 64 78 84 87 91 96 104 112 116 128 156 168 174 182 192 203 208 224 232 256 273 312 336 348 364 377 384 406 416 448 464 546 609 624 672 696 728 754 768 812 832 896 928 1092 1131 1218 1248 1344 1392 1456 1508 1624 1664 1792 1856 2184 2262 2436 2496 2639 2688 2784 2912 3016 3248 3328 3712 4368 4524 4872 4992 5278 5376 5568 5824 6032 6496 7424 7917 8736 9048 9744 9984 10556 11136 11648 12064 12992 15834 17472 18096 19488 21112 22272 23296 24128 25984 31668 34944 36192 38976 42224 48256 51968 63336 69888 72384 77952 84448 96512 126672 144768 155904 168896 253344 289536 337792 506688 675584 1013376 2026752