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2495376 = 2432133143
BaseRepresentation
bin1001100001001110010000
311200210000100
421201032100
51114323001
6125252400
730132102
oct11411620
94623010
102495376
1114548a4
12a04100
13694a70
1448d572
15344586
hex261390

2495376 has 120 divisors (see below), whose sum is σ = 7943936. Its totient is φ = 725760.

The previous prime is 2495351. The next prime is 2495387. The reversal of 2495376 is 6735942.

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

It is a d-powerful number, because it can be written as 27 + 49 + 9 + 59 + 33 + 7 + 67 .

It is a self number, because there is not a number n which added to its sum of digits gives 2495376.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58011 + ... + 58053.

22495376 is an apocalyptic number.

2495376 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 2495376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3971968).

2495376 is an abundant number, since it is smaller than the sum of its proper divisors (5448560).

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

2495376 is a wasteful number, since it uses less digits than its factorization.

2495376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 92 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 2495376 is about 1579.6759161296. The cubic root of 2495376 is about 135.6371527403.

It can be divided in two parts, 249 and 5376, that added together give a square (5625 = 752).

The spelling of 2495376 in words is "two million, four hundred ninety-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 31 36 39 43 48 52 62 72 78 86 93 104 117 124 129 144 156 172 186 208 234 248 258 279 312 344 372 387 403 468 496 516 558 559 624 688 744 774 806 936 1032 1116 1118 1209 1333 1488 1548 1612 1677 1872 2064 2232 2236 2418 2666 3096 3224 3354 3627 3999 4464 4472 4836 5031 5332 6192 6448 6708 7254 7998 8944 9672 10062 10664 11997 13416 14508 15996 17329 19344 20124 21328 23994 26832 29016 31992 34658 40248 47988 51987 58032 63984 69316 80496 95976 103974 138632 155961 191952 207948 277264 311922 415896 623844 831792 1247688 2495376