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2924480 = 265131937
BaseRepresentation
bin1011001001111111000000
312111120122002
423021333000
51222040410
6142403132
733600116
oct13117700
95446562
102924480
111718229
12b904a8
137b5180
14561ab6
153cb7a5
hex2c9fc0

2924480 has 112 divisors (see below), whose sum is σ = 8107680. Its totient is φ = 995328.

The previous prime is 2924477. The next prime is 2924491. The reversal of 2924480 is 844292.

2924480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79022 + ... + 79058.

It is an arithmetic number, because the mean of its divisors is an integer number (72390).

22924480 is an apocalyptic number.

2924480 is a gapful number since it is divisible by the number (20) 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 2924480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053840).

2924480 is an abundant number, since it is smaller than the sum of its proper divisors (5183200).

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

2924480 is a wasteful number, since it uses less digits than its factorization.

2924480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 2924480 is about 1710.1111075015. Note that the first 4 decimals coincide. The cubic root of 2924480 is about 143.0044499569.

The spelling of 2924480 in words is "two million, nine hundred twenty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 32 37 38 40 52 64 65 74 76 80 95 104 130 148 152 160 185 190 208 247 260 296 304 320 370 380 416 481 494 520 592 608 703 740 760 832 962 988 1040 1184 1216 1235 1406 1480 1520 1924 1976 2080 2368 2405 2470 2812 2960 3040 3515 3848 3952 4160 4810 4940 5624 5920 6080 7030 7696 7904 9139 9620 9880 11248 11840 14060 15392 15808 18278 19240 19760 22496 28120 30784 36556 38480 39520 44992 45695 56240 73112 76960 79040 91390 112480 146224 153920 182780 224960 292448 365560 584896 731120 1462240 2924480