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1831089152 = 21031371559
BaseRepresentation
bin110110100100100…
…0011010000000000
311201121111222002202
41231021003100000
512222224323102
6501410332332
763243000224
oct15511032000
94647458082
101831089152
1185a669422
1243128a0a8
13232486a09
1413528a784
15aab49e02
hex6d243400

1831089152 has 88 divisors (see below), whose sum is σ = 3883077120. Its totient is φ = 861511680.

The previous prime is 1831089137. The next prime is 1831089157. The reversal of 1831089152 is 2519801381.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1831089157) 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, 1173749 + ... + 1175307.

Almost surely, 21831089152 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 1831089152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941538560).

1831089152 is an abundant number, since it is smaller than the sum of its proper divisors (2051987968).

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

1831089152 is a wasteful number, since it uses less digits than its factorization.

1831089152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 38.

The square root of 1831089152 is about 42791.2275121899. The cubic root of 1831089152 is about 1223.4038134910.

The spelling of 1831089152 in words is "one billion, eight hundred thirty-one million, eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 37 62 64 74 124 128 148 248 256 296 496 512 592 992 1024 1147 1184 1559 1984 2294 2368 3118 3968 4588 4736 6236 7936 9176 9472 12472 15872 18352 18944 24944 31744 36704 37888 48329 49888 57683 73408 96658 99776 115366 146816 193316 199552 230732 293632 386632 399104 461464 587264 773264 798208 922928 1174528 1546528 1596416 1788173 1845856 3093056 3576346 3691712 6186112 7152692 7383424 12372224 14305384 14766848 24744448 28610768 29533696 49488896 57221536 59067392 114443072 228886144 457772288 915544576 1831089152