Search a number
-
+
2573752040 = 235412715791
BaseRepresentation
bin1001100101101000…
…0101011011101000
320122100222011001122
42121122011123220
520232340031130
61103220234412
7120531350156
oct23132053350
96570864048
102573752040
1111008a8002
125b9b3ba08
133202b2a02
141a5b6c3d6
15100e482e5
hex996856e8

2573752040 has 64 divisors (see below), whose sum is σ = 5955102720. Its totient is φ = 1000512000.

The previous prime is 2573751997. The next prime is 2573752061. The reversal of 2573752040 is 402573752.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441545 + ... + 447335.

It is an arithmetic number, because the mean of its divisors is an integer number (93048480).

Almost surely, 22573752040 is an apocalyptic number.

2573752040 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 2573752040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977551360).

2573752040 is an abundant number, since it is smaller than the sum of its proper divisors (3381350680).

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

2573752040 is a wasteful number, since it uses less digits than its factorization.

2573752040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6114 (or 6110 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 35.

The square root of 2573752040 is about 50732.1598199801. The cubic root of 2573752040 is about 1370.4259318193.

It can be divided in two parts, 25737 and 52040, that added together give a palindrome (77777).

The spelling of 2573752040 in words is "two billion, five hundred seventy-three million, seven hundred fifty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 271 328 410 542 820 1084 1355 1640 2168 2710 5420 5791 10840 11111 11582 22222 23164 28955 44444 46328 55555 57910 88888 111110 115820 222220 231640 237431 444440 474862 949724 1187155 1569361 1899448 2374310 3138722 4748620 6277444 7846805 9497240 12554888 15693610 31387220 62774440 64343801 128687602 257375204 321719005 514750408 643438010 1286876020 2573752040