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1831738428 = 223313372953
BaseRepresentation
bin110110100101110…
…0001110000111100
311201122201221202000
41231023201300330
512222411112203
6501432302300
763251343162
oct15513416074
94648657660
101831738428
1185aa72213
12431541990
132326533c0
141353b9232
15aac274a3
hex6d2e1c3c

1831738428 has 144 divisors (see below), whose sum is σ = 5261729760. Its totient is φ = 547803648.

The previous prime is 1831738333. The next prime is 1831738429. The reversal of 1831738428 is 8248371381.

1831738428 is a `hidden beast` number, since 183 + 17 + 38 + 428 = 666.

It is a super-2 number, since 2×18317384282 = 6710531337223822368, which contains 22 as substring.

Its product of digits (258048) is a multiple of the sum of its prime divisors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1831738429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1921600 + ... + 1922552.

It is an arithmetic number, because the mean of its divisors is an integer number (36539790).

Almost surely, 21831738428 is an apocalyptic number.

1831738428 is a gapful number since it is divisible by the number (18) 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 1831738428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630864880).

1831738428 is an abundant number, since it is smaller than the sum of its proper divisors (3429991332).

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

1831738428 is a wasteful number, since it uses less digits than its factorization.

1831738428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1008 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 1831738428 is about 42798.8133947660. The cubic root of 1831738428 is about 1223.5483964508.

The spelling of 1831738428 in words is "one billion, eight hundred thirty-one million, seven hundred thirty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 37 39 52 54 74 78 108 111 117 148 156 222 234 333 351 444 468 481 666 702 953 962 999 1332 1369 1404 1443 1906 1924 1998 2738 2859 2886 3812 3996 4107 4329 5476 5718 5772 8214 8577 8658 11436 12321 12389 12987 16428 17154 17316 17797 24642 24778 25731 25974 34308 35261 35594 36963 37167 49284 49556 51462 51948 53391 70522 71188 73926 74334 102924 105783 106782 111501 141044 147852 148668 160173 211566 213564 223002 317349 320346 334503 423132 446004 458393 480519 634698 640692 669006 916786 952047 961038 1269396 1304657 1338012 1375179 1833572 1904094 1922076 2609314 2750358 3808188 3913971 4125537 5218628 5500716 7827942 8251074 11741913 12376611 15655884 16502148 16960541 23483826 24753222 33921082 35225739 46967652 49506444 50881623 67842164 70451478 101763246 140902956 152644869 203526492 305289738 457934607 610579476 915869214 1831738428