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2053548376 = 2311232311423
BaseRepresentation
bin111101001100110…
…1010100101011000
312022010010001210021
41322121222211120
513201202022001
6535434400224
7101613605335
oct17231524530
95263101707
102053548376
119641a1320
12493890074
132695a58a9
14156a3798c
15c043dba1
hex7a66a958

2053548376 has 96 divisors (see below), whose sum is σ = 4535838720. Its totient is φ = 863438400.

The previous prime is 2053548373. The next prime is 2053548383. The reversal of 2053548376 is 6738453502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053548373) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1442401 + ... + 1443823.

It is an arithmetic number, because the mean of its divisors is an integer number (47248320).

Almost surely, 22053548376 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 2053548376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267919360).

2053548376 is an abundant number, since it is smaller than the sum of its proper divisors (2482290344).

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

2053548376 is a wasteful number, since it uses less digits than its factorization.

2053548376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 43.

The square root of 2053548376 is about 45316.0940064344. The cubic root of 2053548376 is about 1271.0666171195.

The spelling of 2053548376 in words is "two billion, fifty-three million, five hundred forty-eight thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 22 23 31 44 46 62 88 92 124 184 248 253 341 506 529 682 713 1012 1058 1364 1423 1426 2024 2116 2728 2846 2852 4232 5692 5704 5819 7843 11384 11638 15653 15686 16399 23276 31306 31372 32729 32798 44113 46552 62612 62744 65458 65596 88226 125224 130916 131192 176452 180389 261832 352904 360019 360778 485243 720038 721556 752767 970486 1014599 1440076 1443112 1505534 1940972 2029198 2880152 3011068 3881944 4058396 6022136 8116792 8280437 11160589 16560874 22321178 23335777 33121748 44642356 46671554 66243496 89284712 93343108 186686216 256693547 513387094 1026774188 2053548376