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1045925664 = 25374213697
BaseRepresentation
bin111110010101111…
…000111100100000
32200220002112021120
4332111320330200
54120224110124
6251441452240
734630135650
oct7625707440
92626075246
101045925664
11497441483
12252341080
131388c9c34
149cca4360
1561c53d79
hex3e578f20

1045925664 has 96 divisors (see below), whose sum is σ = 3146080896. Its totient is φ = 298045440.

The previous prime is 1045925653. The next prime is 1045925689. The reversal of 1045925664 is 4665295401.

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

It is a super-2 number, since 2×10459256642 = 2187920989227681792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 281064 + ... + 284760.

It is an arithmetic number, because the mean of its divisors is an integer number (32771676).

Almost surely, 21045925664 is an apocalyptic number.

1045925664 is a gapful number since it is divisible by the number (14) 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 1045925664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573040448).

1045925664 is an abundant number, since it is smaller than the sum of its proper divisors (2100155232).

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

1045925664 is a wasteful number, since it uses less digits than its factorization.

1045925664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4138 (or 4130 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 1045925664 is about 32340.7740167115. The cubic root of 1045925664 is about 1015.0800050180.

The spelling of 1045925664 in words is "one billion, forty-five million, nine hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 421 672 842 1263 1684 2526 2947 3368 3697 5052 5894 6736 7394 8841 10104 11091 11788 13472 14788 17682 20208 22182 23576 25879 29576 35364 40416 44364 47152 51758 59152 70728 77637 88728 94304 103516 118304 141456 155274 177456 207032 282912 310548 354912 414064 621096 828128 1242192 1556437 2484384 3112874 4669311 6225748 9338622 10895059 12451496 18677244 21790118 24902992 32685177 37354488 43580236 49805984 65370354 74708976 87160472 130740708 149417952 174320944 261481416 348641888 522962832 1045925664