Search a number
-
+
102448944 = 24321354727
BaseRepresentation
bin1100001101100…
…11111100110000
321010202221112100
412012303330300
5202211331234
614055500400
72352541653
oct606637460
9233687470
10102448944
1152914454
122a387700
13182c03a0
14d86b89a
158eda399
hex61b3f30

102448944 has 60 divisors (see below), whose sum is σ = 308775376. Its totient is φ = 31522176.

The previous prime is 102448939. The next prime is 102448979. The reversal of 102448944 is 449844201.

It is a super-2 number, since 2×1024489442 = 20991572253430272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 102448899 and 102448908.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25492 + ... + 29235.

Almost surely, 2102448944 is an apocalyptic number.

It is an amenable number.

102448944 is an abundant number, since it is smaller than the sum of its proper divisors (206326432).

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

102448944 is a wasteful number, since it uses less digits than its factorization.

102448944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54754 (or 54745 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 102448944 is about 10121.7065754743. The cubic root of 102448944 is about 467.9173643271.

The spelling of 102448944 in words is "one hundred two million, four hundred forty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 54727 109454 164181 218908 328362 437816 492543 656724 711451 875632 985086 1313448 1422902 1970172 2134353 2626896 2845804 3940344 4268706 5691608 6403059 7880688 8537412 11383216 12806118 17074824 25612236 34149648 51224472 102448944