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2573424 = 243372337
BaseRepresentation
bin1001110100010001110000
311211202002000
421310101300
51124322144
6131054000
730605460
oct11642160
94752060
102573424
1114a84a7
12a41300
136c1449
144adba0
1535c769
hex274470

2573424 has 160 divisors (see below), whose sum is σ = 9047040. Its totient is φ = 684288.

The previous prime is 2573423. The next prime is 2573437. The reversal of 2573424 is 4243752.

2573424 = T91 + T92 + ... + T252.

It is a super-2 number, since 2×25734242 = 13245022167552, 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 Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (6720) is a multiple of the sum of its prime factors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2573423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69534 + ... + 69570.

It is an arithmetic number, because the mean of its divisors is an integer number (56544).

22573424 is an apocalyptic number.

2573424 is a gapful number since it is divisible by the number (24) 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 2573424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4523520).

2573424 is an abundant number, since it is smaller than the sum of its proper divisors (6473616).

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

2573424 is a wasteful number, since it uses less digits than its factorization.

2573424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 72 counting only the distinct ones).

The product of its digits is 6720, while the sum is 27.

The square root of 2573424 is about 1604.1895149888. The cubic root of 2573424 is about 137.0367706368.

The spelling of 2573424 in words is "two million, five hundred seventy-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 36 37 42 46 48 54 56 63 69 72 74 84 92 108 111 112 126 138 144 148 161 168 184 189 207 216 222 252 259 276 296 322 333 336 368 378 414 432 444 483 504 518 552 592 621 644 666 756 777 828 851 888 966 999 1008 1036 1104 1242 1288 1332 1449 1512 1554 1656 1702 1776 1932 1998 2072 2331 2484 2553 2576 2664 2898 3024 3108 3312 3404 3864 3996 4144 4347 4662 4968 5106 5328 5796 5957 6216 6808 6993 7659 7728 7992 8694 9324 9936 10212 11592 11914 12432 13616 13986 15318 15984 17388 17871 18648 20424 22977 23184 23828 27972 30636 34776 35742 37296 40848 45954 47656 53613 55944 61272 69552 71484 91908 95312 107226 111888 122544 142968 160839 183816 214452 285936 321678 367632 428904 643356 857808 1286712 2573424