Search a number
-
+
28640976 = 2437137983
BaseRepresentation
bin110110101000…
…0011011010000
31222220010000220
41231100123100
524313002401
62501513040
7465305250
oct155203320
958803026
1028640976
1115192431
129712780
135c1a530
143b37960
1527ab336
hex1b506d0

28640976 has 160 divisors (see below), whose sum is σ = 93327360. Its totient is φ = 7368192.

The previous prime is 28640947. The next prime is 28640977. The reversal of 28640976 is 67904682.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28640977) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 345031 + ... + 345113.

It is an arithmetic number, because the mean of its divisors is an integer number (583296).

Almost surely, 228640976 is an apocalyptic number.

28640976 is a gapful number since it is divisible by the number (26) 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 28640976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46663680).

28640976 is an abundant number, since it is smaller than the sum of its proper divisors (64686384).

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

28640976 is a wasteful number, since it uses less digits than its factorization.

28640976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 28640976 is about 5351.7264504083. The cubic root of 28640976 is about 305.9585573334.

The spelling of 28640976 in words is "twenty-eight million, six hundred forty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 79 83 84 91 104 112 156 158 166 168 182 208 237 249 273 312 316 332 336 364 474 498 546 553 581 624 632 664 728 948 996 1027 1079 1092 1106 1162 1264 1328 1456 1659 1743 1896 1992 2054 2158 2184 2212 2324 3081 3237 3318 3486 3792 3984 4108 4316 4368 4424 4648 6162 6474 6557 6636 6972 7189 7553 8216 8632 8848 9296 12324 12948 13114 13272 13944 14378 15106 16432 17264 19671 21567 22659 24648 25896 26228 26544 27888 28756 30212 39342 43134 45318 45899 49296 51792 52456 57512 60424 78684 85241 86268 90636 91798 104912 115024 120848 137697 157368 170482 172536 181272 183596 255723 275394 314736 340964 345072 362544 367192 511446 550788 596687 681928 734384 1022892 1101576 1193374 1363856 1790061 2045784 2203152 2386748 3580122 4091568 4773496 7160244 9546992 14320488 28640976