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2481696 = 253271231
BaseRepresentation
bin1001011101111000100000
311200002020200
421131320200
51113403241
6125105200
730044160
oct11357040
94602220
102481696
111445598
129b8200
1368b779
144885a0
153404b6
hex25de20

2481696 has 72 divisors (see below), whose sum is σ = 8072064. Its totient is φ = 708480.

The previous prime is 2481653. The next prime is 2481697. The reversal of 2481696 is 6961842.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2481696.

It is not an unprimeable number, because it can be changed into a prime (2481697) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1401 + ... + 2631.

It is an arithmetic number, because the mean of its divisors is an integer number (112112).

22481696 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 2481696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4036032).

2481696 is an abundant number, since it is smaller than the sum of its proper divisors (5590368).

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

2481696 is a wasteful number, since it uses less digits than its factorization.

2481696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1243 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 2481696 is about 1575.3399633095. The cubic root of 2481696 is about 135.3888378107.

The spelling of 2481696 in words is "two million, four hundred eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1231 2016 2462 3693 4924 7386 8617 9848 11079 14772 17234 19696 22158 25851 29544 34468 39392 44316 51702 59088 68936 77553 88632 103404 118176 137872 155106 177264 206808 275744 310212 354528 413616 620424 827232 1240848 2481696