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573463040 = 2951713177
BaseRepresentation
bin100010001011100…
…101101000000000
31110222001221101212
4202023211220000
52133301304130
6132523145252
720132232623
oct4213455000
91428057355
10573463040
112747832a7
12140075228
1391a66c57
1456239dba
1535529e95
hex222e5a00

573463040 has 80 divisors (see below), whose sum is σ = 1455958152. Its totient is φ = 215875584.

The previous prime is 573463031. The next prime is 573463043. The reversal of 573463040 is 40364375.

It can be written as a sum of positive squares in 4 ways, for example, as 540469504 + 32993536 = 23248^2 + 5744^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 573462988 and 573463006.

It is not an unprimeable number, because it can be changed into a prime (573463043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36932 + ... + 50108.

Almost surely, 2573463040 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 573463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727979076).

573463040 is an abundant number, since it is smaller than the sum of its proper divisors (882495112).

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

573463040 is a wasteful number, since it uses less digits than its factorization.

573463040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13217 (or 13201 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

The square root of 573463040 is about 23947.0883407566. The cubic root of 573463040 is about 830.8101829202.

The spelling of 573463040 in words is "five hundred seventy-three million, four hundred sixty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 1088 1280 1360 2176 2560 2720 4352 5440 8704 10880 13177 21760 26354 43520 52708 65885 105416 131770 210832 224009 263540 421664 448018 527080 843328 896036 1054160 1120045 1686656 1792072 2108320 2240090 3373312 3584144 4216640 4480180 6746624 7168288 8433280 8960360 14336576 16866560 17920720 28673152 33733120 35841440 57346304 71682880 114692608 143365760 286731520 573463040