Search a number
-
+
2554968 = 2331319431
BaseRepresentation
bin1001101111110001011000
311210210202110
421233301120
51123224333
6130432320
730500613
oct11576130
94723673
102554968
111495649
12a326a0
136b5c20
144a717a
15357063
hex26fc58

2554968 has 64 divisors (see below), whose sum is σ = 7257600. Its totient is φ = 743040.

The previous prime is 2554963. The next prime is 2554969. The reversal of 2554968 is 8694552.

It is a super-2 number, since 2×25549682 = 13055722962048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2554963) 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, 5713 + ... + 6143.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

22554968 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 2554968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628800).

2554968 is an abundant number, since it is smaller than the sum of its proper divisors (4702632).

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

2554968 is a wasteful number, since it uses less digits than its factorization.

2554968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 468 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 2554968 is about 1598.4267265033. The cubic root of 2554968 is about 136.7083857036.

The spelling of 2554968 in words is "two million, five hundred fifty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 431 456 494 741 862 988 1293 1482 1724 1976 2586 2964 3448 5172 5603 5928 8189 10344 11206 16378 16809 22412 24567 32756 33618 44824 49134 65512 67236 98268 106457 134472 196536 212914 319371 425828 638742 851656 1277484 2554968