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4125452472 = 233431415009
BaseRepresentation
bin1111010111100101…
…0110100010111000
3101122111202200220000
43311321112202320
531422103434342
61521210433000
7204142524141
oct36571264270
911574680800
104125452472
11182778a559
12971732760
1350990734b
142b1c8cac8
151922a644c
hexf5e568b8

4125452472 has 160 divisors (see below), whose sum is σ = 12221193600. Its totient is φ = 1298073600.

The previous prime is 4125452459. The next prime is 4125452473. The reversal of 4125452472 is 2742545214.

4125452472 is a `hidden beast` number, since 4 + 12 + 54 + 524 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4125452473) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 821104 + ... + 826112.

It is an arithmetic number, because the mean of its divisors is an integer number (76382460).

Almost surely, 24125452472 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 4125452472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6110596800).

4125452472 is an abundant number, since it is smaller than the sum of its proper divisors (8095741128).

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

4125452472 is a wasteful number, since it uses less digits than its factorization.

4125452472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5099 (or 5086 counting only the distinct ones).

The product of its digits is 89600, while the sum is 36.

The square root of 4125452472 is about 64229.6852864779. The cubic root of 4125452472 is about 1603.8258020246.

Adding to 4125452472 its reverse (2742545214), we get a palindrome (6867997686).

The spelling of 4125452472 in words is "four billion, one hundred twenty-five million, four hundred fifty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 41 54 62 72 81 82 93 108 123 124 162 164 186 216 246 248 279 324 328 369 372 492 558 648 738 744 837 984 1107 1116 1271 1476 1674 2214 2232 2511 2542 2952 3321 3348 3813 4428 5009 5022 5084 6642 6696 7626 8856 10018 10044 10168 11439 13284 15027 15252 20036 20088 22878 26568 30054 30504 34317 40072 45081 45756 60108 68634 90162 91512 102951 120216 135243 137268 155279 180324 205369 205902 270486 274536 310558 360648 405729 410738 411804 465837 540972 616107 621116 811458 821476 823608 931674 1081944 1232214 1242232 1397511 1622916 1642952 1848321 1863348 2464428 2795022 3245832 3696642 3726696 4192533 4928856 5544963 5590044 6366439 7393284 8385066 11089926 11180088 12577599 12732878 14786568 16634889 16770132 19099317 22179852 25155198 25465756 33269778 33540264 38198634 44359704 50310396 50931512 57297951 66539556 76397268 100620792 114595902 133079112 152794536 171893853 229191804 343787706 458383608 515681559 687575412 1031363118 1375150824 2062726236 4125452472