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2429496 = 233241823
BaseRepresentation
bin1001010001001000111000
311120102122100
421101020320
51110220441
6124023400
726436036
oct11211070
94512570
102429496
11140a353
12991b60
13670a94
14473556
1532ecb6
hex251238

2429496 has 48 divisors (see below), whose sum is σ = 6748560. Its totient is φ = 789120.

The previous prime is 2429489. The next prime is 2429503. The reversal of 2429496 is 6949242.

It is an interprime number because it is at equal distance from previous prime (2429489) and next prime (2429503).

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 a self number, because there is not a number n which added to its sum of digits gives 2429496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2541 + ... + 3363.

It is an arithmetic number, because the mean of its divisors is an integer number (140595).

22429496 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 2429496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374280).

2429496 is an abundant number, since it is smaller than the sum of its proper divisors (4319064).

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

2429496 is a wasteful number, since it uses less digits than its factorization.

2429496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 869 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 2429496 is about 1558.6840603535. The cubic root of 2429496 is about 134.4328469886.

The spelling of 2429496 in words is "two million, four hundred twenty-nine thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 823 984 1476 1646 2469 2952 3292 4938 6584 7407 9876 14814 19752 29628 33743 59256 67486 101229 134972 202458 269944 303687 404916 607374 809832 1214748 2429496