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2472408 = 2332231493
BaseRepresentation
bin1001011011100111011000
311122121111200
421123213120
51113104113
6124554200
730005121
oct11334730
94577450
102472408
111439614
129b2960
13687483
14485048
1533c873
hex25b9d8

2472408 has 48 divisors (see below), whose sum is σ = 6991920. Its totient is φ = 787776.

The previous prime is 2472403. The next prime is 2472443. The reversal of 2472408 is 8042742.

It is a super-2 number, since 2×24724082 = 12225602636928, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2472403) 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, 910 + ... + 2402.

It is an arithmetic number, because the mean of its divisors is an integer number (145665).

22472408 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 2472408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495960).

2472408 is an abundant number, since it is smaller than the sum of its proper divisors (4519512).

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

2472408 is a wasteful number, since it uses less digits than its factorization.

2472408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2472408 is about 1572.3892647815. The cubic root of 2472408 is about 135.2197244894.

The spelling of 2472408 in words is "two million, four hundred seventy-two thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1493 1656 2986 4479 5972 8958 11944 13437 17916 26874 34339 35832 53748 68678 103017 107496 137356 206034 274712 309051 412068 618102 824136 1236204 2472408