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1864431696 = 243193176449
BaseRepresentation
bin110111100100000…
…1111100001010000
311210221020221110210
41233020033201100
512304243303241
6505001124120
764126256631
oct15710174120
94727227423
101864431696
11877472146
12440489640
1323935c22a
14139889888
15ada34316
hex6f20f850

1864431696 has 80 divisors (see below), whose sum is σ = 5086728000. Its totient is φ = 586819584.

The previous prime is 1864431691. The next prime is 1864431707. The reversal of 1864431696 is 6961344681.

It is a super-2 number, since 2×18644316962 = 6952211098098872832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1864431691) 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, 285880 + ... + 292328.

It is an arithmetic number, because the mean of its divisors is an integer number (63584100).

Almost surely, 21864431696 is an apocalyptic number.

1864431696 is a gapful number since it is divisible by the number (16) 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 1864431696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2543364000).

1864431696 is an abundant number, since it is smaller than the sum of its proper divisors (3222296304).

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

1864431696 is a wasteful number, since it uses less digits than its factorization.

1864431696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6796 (or 6790 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 1864431696 is about 43179.0654831714. The cubic root of 1864431696 is about 1230.7848992508.

The spelling of 1864431696 in words is "one billion, eight hundred sixty-four million, four hundred thirty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 317 456 634 912 951 1268 1902 2536 3804 5072 6023 6449 7608 12046 12898 15216 18069 19347 24092 25796 36138 38694 48184 51592 72276 77388 96368 103184 122531 144552 154776 245062 289104 309552 367593 490124 735186 980248 1470372 1960496 2044333 2940744 4088666 5881488 6132999 8177332 12265998 16354664 24531996 32709328 38842327 49063992 77684654 98127984 116526981 155369308 233053962 310738616 466107924 621477232 932215848 1864431696