Search a number
-
+
19863552 = 21135361
BaseRepresentation
bin100101111000…
…1100000000000
31101101011200010
41023301200000
520041113202
61545424520
7330560142
oct113614000
941334603
1019863552
1110237865
12679b140
1341662a7
1428d0c92
151b2576c
hex12f1800

19863552 has 96 divisors (see below), whose sum is σ = 54840240. Its totient is φ = 6389760.

The previous prime is 19863551. The next prime is 19863577. The reversal of 19863552 is 25536891.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 19863552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19863551) 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, 325602 + ... + 325662.

Almost surely, 219863552 is an apocalyptic number.

19863552 is a gapful number since it is divisible by the number (12) 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 19863552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27420120).

19863552 is an abundant number, since it is smaller than the sum of its proper divisors (34976688).

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

19863552 is an equidigital number, since it uses as much as digits as its factorization.

19863552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 119 counting only the distinct ones).

The product of its digits is 64800, while the sum is 39.

The square root of 19863552 is about 4456.8544961666. The cubic root of 19863552 is about 270.8230577456.

The spelling of 19863552 in words is "nineteen million, eight hundred sixty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 61 64 96 106 122 128 159 183 192 212 244 256 318 366 384 424 488 512 636 732 768 848 976 1024 1272 1464 1536 1696 1952 2048 2544 2928 3072 3233 3392 3904 5088 5856 6144 6466 6784 7808 9699 10176 11712 12932 13568 15616 19398 20352 23424 25864 27136 31232 38796 40704 46848 51728 54272 62464 77592 81408 93696 103456 108544 124928 155184 162816 187392 206912 310368 325632 374784 413824 620736 827648 1241472 1655296 2482944 3310592 4965888 6621184 9931776 19863552