Search a number
-
+
1831503968 = 25727571543
BaseRepresentation
bin110110100101010…
…1000100001100000
311201122022001010022
41231022220201200
512222331111333
6501423253012
763246345500
oct15512504140
94648261108
101831503968
1185a922048
1243144a168
132325a0778
14135357a00
15aabccc98
hex6d2a8860

1831503968 has 72 divisors (see below), whose sum is σ = 4202734032. Its totient is φ = 783385344.

The previous prime is 1831503967. The next prime is 1831504013. The reversal of 1831503968 is 8693051381.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1831503967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1186205 + ... + 1187747.

It is an arithmetic number, because the mean of its divisors is an integer number (58371306).

Almost surely, 21831503968 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 1831503968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101367016).

1831503968 is an abundant number, since it is smaller than the sum of its proper divisors (2371230064).

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

1831503968 is a wasteful number, since it uses less digits than its factorization.

1831503968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2324 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 44.

The square root of 1831503968 is about 42796.0742124789. The cubic root of 1831503968 is about 1223.4961900525.

The spelling of 1831503968 in words is "one billion, eight hundred thirty-one million, five hundred three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 757 784 1514 1543 1568 3028 3086 5299 6056 6172 10598 10801 12112 12344 21196 21602 24224 24688 37093 42392 43204 49376 74186 75607 84784 86408 148372 151214 169568 172816 296744 302428 345632 593488 604856 1168051 1186976 1209712 2336102 2419424 4672204 8176357 9344408 16352714 18688816 32705428 37377632 57234499 65410856 114468998 130821712 228937996 261643424 457875992 915751984 1831503968