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5402376 = 23357397
BaseRepresentation
bin10100100110111100001000
3101011110200000
4110212330020
52340334001
6311443000
763630240
oct24467410
911143600
105402376
11305a981
121986460
131171c95
14a08b20
1571aa86
hex526f08

5402376 has 96 divisors (see below), whose sum is σ = 17384640. Its totient is φ = 1539648.

The previous prime is 5402359. The next prime is 5402377. The reversal of 5402376 is 6732045.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5402377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13410 + ... + 13806.

It is an arithmetic number, because the mean of its divisors is an integer number (181090).

Almost surely, 25402376 is an apocalyptic number.

5402376 is a gapful number since it is divisible by the number (56) 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 5402376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8692320).

5402376 is an abundant number, since it is smaller than the sum of its proper divisors (11982264).

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

5402376 is a wasteful number, since it uses less digits than its factorization.

5402376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 5402376 is about 2324.3011853028. The cubic root of 5402376 is about 175.4667918759.

It can be divided in two parts, 5402 and 376, that added together give a triangular number (5778 = T107).

The spelling of 5402376 in words is "five million, four hundred two thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 397 486 504 567 648 756 794 972 1134 1191 1512 1588 1701 1944 2268 2382 2779 3176 3402 3573 4536 4764 5558 6804 7146 8337 9528 10719 11116 13608 14292 16674 21438 22232 25011 28584 32157 33348 42876 50022 64314 66696 75033 85752 96471 100044 128628 150066 192942 200088 225099 257256 300132 385884 450198 600264 675297 771768 900396 1350594 1800792 2701188 5402376