Search a number
-
+
104828736 = 2632967281
BaseRepresentation
bin1100011111110…
…00111101000000
321022020211222210
412033320331000
5203314004421
614222502120
72412013065
oct617707500
9238224883
10104828736
115419a421
122b134940
131894464c
14dccac6c
15930a576
hex63f8f40

104828736 has 112 divisors (see below), whose sum is σ = 292242240. Its totient is φ = 33116160.

The previous prime is 104828699. The next prime is 104828741. The reversal of 104828736 is 637828401.

It is a junction number, because it is equal to n+sod(n) for n = 104828694 and 104828703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372916 + ... + 373196.

Almost surely, 2104828736 is an apocalyptic number.

104828736 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 104828736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146121120).

104828736 is an abundant number, since it is smaller than the sum of its proper divisors (187413504).

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

104828736 is a wasteful number, since it uses less digits than its factorization.

104828736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 104828736 is about 10238.5905279975. The cubic root of 104828736 is about 471.5127596728.

The spelling of 104828736 in words is "one hundred four million, eight hundred twenty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 67 87 96 116 134 174 192 201 232 268 281 348 402 464 536 562 696 804 843 928 1072 1124 1392 1608 1686 1856 1943 2144 2248 2784 3216 3372 3886 4288 4496 5568 5829 6432 6744 7772 8149 8992 11658 12864 13488 15544 16298 17984 18827 23316 24447 26976 31088 32596 37654 46632 48894 53952 56481 62176 65192 75308 93264 97788 112962 124352 130384 150616 186528 195576 225924 260768 301232 373056 391152 451848 521536 545983 602464 782304 903696 1091966 1204928 1564608 1637949 1807392 2183932 3275898 3614784 4367864 6551796 8735728 13103592 17471456 26207184 34942912 52414368 104828736