Search a number
-
+
1025348072 = 237194373307
BaseRepresentation
bin111101000111011…
…001000111101000
32122110101002010112
4331013121013220
54044442114242
6245424433452
734260212660
oct7507310750
92573332115
101025348072
11486867201
12247478888
13134573948
149a2691a0
156003bc82
hex3d1d91e8

1025348072 has 128 divisors (see below), whose sum is σ = 2406835200. Its totient is φ = 399748608.

The previous prime is 1025348039. The next prime is 1025348083. The reversal of 1025348072 is 2708435201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3339743 + ... + 3340049.

It is an arithmetic number, because the mean of its divisors is an integer number (18803400).

Almost surely, 21025348072 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 1025348072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203417600).

1025348072 is an abundant number, since it is smaller than the sum of its proper divisors (1381487128).

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

1025348072 is a wasteful number, since it uses less digits than its factorization.

1025348072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 1025348072 is about 32021.0566971173. The cubic root of 1025348072 is about 1008.3789543703.

The spelling of 1025348072 in words is "one billion, twenty-five million, three hundred forty-eight thousand, seventy-two".

Divisors: 1 2 4 7 8 14 19 28 38 43 56 73 76 86 133 146 152 172 266 292 301 307 344 511 532 584 602 614 817 1022 1064 1204 1228 1387 1634 2044 2149 2408 2456 2774 3139 3268 4088 4298 5548 5719 5833 6278 6536 8596 9709 11096 11438 11666 12556 13201 17192 19418 21973 22411 22876 23332 25112 26402 38836 40831 43946 44822 45752 46664 52804 59641 77672 81662 87892 89644 92407 105608 119282 156877 163324 175784 179288 184814 238564 250819 313754 326648 369628 417487 425809 477128 501638 627508 739256 834974 851618 963673 1003276 1255016 1669948 1703236 1755733 1927346 2006552 2980663 3339896 3406472 3511466 3854692 5961326 6745711 7022932 7709384 11922652 13491422 14045864 18309787 23845304 26982844 36619574 53965688 73239148 128168509 146478296 256337018 512674036 1025348072