Search a number
-
+
882153940 = 225613172281
BaseRepresentation
bin110100100101001…
…001100111010100
32021110221001201011
4310211021213110
53301312411230
6223311342004
730601120243
oct6445114724
92243831634
10882153940
11412a53348
12207521904
131109b87a5
148523295a
15526a3e2a
hex349499d4

882153940 has 48 divisors (see below), whose sum is σ = 1889660304. Its totient is φ = 345830400.

The previous prime is 882153917. The next prime is 882153947. The reversal of 882153940 is 49351288.

It can be written as a sum of positive squares in 8 ways, for example, as 277289104 + 604864836 = 16652^2 + 24594^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 882153893 and 882153902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882153947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385600 + ... + 387880.

It is an arithmetic number, because the mean of its divisors is an integer number (39367923).

Almost surely, 2882153940 is an apocalyptic number.

It is an amenable number.

882153940 is an abundant number, since it is smaller than the sum of its proper divisors (1007506364).

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

882153940 is a wasteful number, since it uses less digits than its factorization.

882153940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2668 (or 2666 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 882153940 is about 29701.0764114703. The cubic root of 882153940 is about 959.0651852019.

The spelling of 882153940 in words is "eight hundred eighty-two million, one hundred fifty-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 61 122 244 305 317 610 634 1220 1268 1585 2281 3170 4562 6340 9124 11405 19337 22810 38674 45620 77348 96685 139141 193370 278282 386740 556564 695705 723077 1391410 1446154 2782820 2892308 3615385 7230770 14461540 44107697 88215394 176430788 220538485 441076970 882153940