[go: up one dir, main page]

Search a number
-
+
2476992 = 26371997
BaseRepresentation
bin1001011100101111000000
311122211210110
421130233000
51113230432
6125031320
730024360
oct11345700
94584713
102476992
111442001
129b5540
1368959b
144869a0
1533ddcc
hex25cbc0

2476992 has 112 divisors (see below), whose sum is σ = 7965440. Its totient is φ = 663552.

The previous prime is 2476987. The next prime is 2477029. The reversal of 2476992 is 2996742.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×24769922 = 12270978736128, which contains 22 as substring.

It is a zygodrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 2476992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25488 + ... + 25584.

It is an arithmetic number, because the mean of its divisors is an integer number (71120).

22476992 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 2476992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3982720).

2476992 is an abundant number, since it is smaller than the sum of its proper divisors (5488448).

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

2476992 is a wasteful number, since it uses less digits than its factorization.

2476992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 128 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 2476992 is about 1573.8462440785. The cubic root of 2476992 is about 135.3032415212.

The spelling of 2476992 in words is "two million, four hundred seventy-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 97 112 114 133 152 168 192 194 224 228 266 291 304 336 388 399 448 456 532 582 608 672 679 776 798 912 1064 1164 1216 1344 1358 1552 1596 1824 1843 2037 2128 2328 2716 3104 3192 3648 3686 4074 4256 4656 5432 5529 6208 6384 7372 8148 8512 9312 10864 11058 12768 12901 14744 16296 18624 21728 22116 25536 25802 29488 32592 38703 43456 44232 51604 58976 65184 77406 88464 103208 117952 130368 154812 176928 206416 309624 353856 412832 619248 825664 1238496 2476992