Search a number
-
+
926420544 = 263371929139
BaseRepresentation
bin110111001110000…
…000111001000000
32101120020001002000
4313032000321000
53344130424134
6231532224000
731646305350
oct6716007100
92346201060
10926420544
11435a38515
1221a30b000
13119c1734a
148b076b60
15564e9e99
hex37380e40

926420544 has 448 divisors, whose sum is σ = 3413760000. Its totient is φ = 240371712.

The previous prime is 926420531. The next prime is 926420557. The reversal of 926420544 is 445024629.

926420544 is a `hidden beast` number, since 9 + 2 + 642 + 0 + 5 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (926420531) and next prime (926420557).

It is a tau number, because it is divible by the number of its divisors (448).

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 = 926420499 and 926420508.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6664827 + ... + 6664965.

It is an arithmetic number, because the mean of its divisors is an integer number (7620000).

Almost surely, 2926420544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 926420544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706880000).

926420544 is an abundant number, since it is smaller than the sum of its proper divisors (2487339456).

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

926420544 is a wasteful number, since it uses less digits than its factorization.

926420544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 926420544 is about 30437.1572917052. The cubic root of 926420544 is about 974.8461011529.

The spelling of 926420544 in words is "nine hundred twenty-six million, four hundred twenty thousand, five hundred forty-four".