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981226125 = 325311372143
BaseRepresentation
bin111010011111000…
…101001010001101
32112101100110012100
4322133011022031
54002143214000
6241211025313
733213166365
oct7237051215
92471313170
10981226125
11463970790
1223473b239
13128395b99
14944619a5
155b223a00
hex3a7c528d

981226125 has 96 divisors (see below), whose sum is σ = 1982702592. Its totient is φ = 462672000.

The previous prime is 981226123. The next prime is 981226133. The reversal of 981226125 is 521622189.

It is not a de Polignac number, because 981226125 - 21 = 981226123 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 981226125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981226123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 456804 + ... + 458946.

It is an arithmetic number, because the mean of its divisors is an integer number (20653152).

Almost surely, 2981226125 is an apocalyptic number.

It is an amenable number.

981226125 is an abundant number, since it is smaller than the sum of its proper divisors (1001476467).

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

981226125 is a wasteful number, since it uses less digits than its factorization.

981226125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212 (or 2199 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 981226125 is about 31324.5291265487. The cubic root of 981226125 is about 993.7024659831.

It can be divided in two parts, 9812 and 26125, that added together give a cube (35937 = 333).

The spelling of 981226125 in words is "nine hundred eighty-one million, two hundred twenty-six thousand, one hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 37 45 55 75 99 111 125 165 185 225 275 333 375 407 495 555 825 925 1125 1221 1375 1665 2035 2143 2475 2775 3663 4125 4625 6105 6429 8325 10175 10715 12375 13875 18315 19287 23573 30525 32145 41625 50875 53575 70719 79291 91575 96435 117865 152625 160725 212157 237873 267875 353595 396455 457875 482175 589325 713619 803625 872201 1060785 1189365 1767975 1982275 2410875 2616603 2946625 3568095 4361005 5303925 5946825 7849809 8839875 9911375 13083015 17840475 21805025 26519625 29734125 39249045 65415075 89202375 109025125 196245225 327075375 981226125