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2005925472 = 25341745523
BaseRepresentation
bin111011110001111…
…1111111001100000
312011210111120110000
41313203333321200
513102004103342
6531013540000
7100465041135
oct16743777140
95153446400
102005925472
1193a324551
1247b944600
1325c770465
1415059c58c
15bb18344c
hex778ffe60

2005925472 has 120 divisors (see below), whose sum is σ = 6246530136. Its totient is φ = 629296128.

The previous prime is 2005925429. The next prime is 2005925507. The reversal of 2005925472 is 2745295002.

It is a happy number.

2005925472 is a `hidden beast` number, since 20 + 0 + 5 + 92 + 547 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21303 + ... + 66825.

Almost surely, 22005925472 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 2005925472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3123265068).

2005925472 is an abundant number, since it is smaller than the sum of its proper divisors (4240604664).

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

2005925472 is a wasteful number, since it uses less digits than its factorization.

2005925472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45562 (or 45545 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2005925472 is about 44787.5593440857. The cubic root of 2005925472 is about 1261.1640942484.

The spelling of 2005925472 in words is "two billion, five million, nine hundred twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 272 288 306 324 408 432 459 544 612 648 816 864 918 1224 1296 1377 1632 1836 2448 2592 2754 3672 4896 5508 7344 11016 14688 22032 44064 45523 91046 136569 182092 273138 364184 409707 546276 728368 773891 819414 1092552 1229121 1456736 1547782 1638828 2185104 2321673 2458242 3095564 3277656 3687363 4370208 4643346 4916484 6191128 6555312 6965019 7374726 9286692 9832968 12382256 13110624 13930038 14749452 18573384 19665936 20895057 24764512 27860076 29498904 37146768 39331872 41790114 55720152 58997808 62685171 74293536 83580228 111440304 117995616 125370342 167160456 222880608 250740684 334320912 501481368 668641824 1002962736 2005925472