Search a number
-
+
3954874248 = 2334133171481
BaseRepresentation
bin1110101110111010…
…1001011110001000
3101012121210102120000
43223232221132020
531044421433443
61452234403000
7200001606423
oct35356513610
911177712500
103954874248
11174a472616
12924590460
134b0481aa0
142973689ba
1518230e8d3
hexebba9788

3954874248 has 160 divisors (see below), whose sum is σ = 11975123160. Its totient is φ = 1212226560.

The previous prime is 3954874247. The next prime is 3954874289. The reversal of 3954874248 is 8424784593.

3954874248 is a `hidden beast` number, since 3 + 9 + 548 + 74 + 24 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1538365284 + 2416508964 = 39222^2 + 49158^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3954874194 and 3954874203.

It is not an unprimeable number, because it can be changed into a prime (3954874247) 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, 2669668 + ... + 2671148.

Almost surely, 23954874248 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 3954874248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5987561580).

3954874248 is an abundant number, since it is smaller than the sum of its proper divisors (8020248912).

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

3954874248 is a wasteful number, since it uses less digits than its factorization.

3954874248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1816 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 3954874248 is about 62887.7909295596. The cubic root of 3954874248 is about 1581.4090735976.

The spelling of 3954874248 in words is "three billion, nine hundred fifty-four million, eight hundred seventy-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 317 324 351 468 634 648 702 936 951 1053 1268 1404 1481 1902 2106 2536 2808 2853 2962 3804 4121 4212 4443 5706 5924 7608 8242 8424 8559 8886 11412 11848 12363 13329 16484 17118 17772 19253 22824 24726 25677 26658 32968 34236 35544 37089 38506 39987 49452 51354 53316 57759 68472 74178 77012 79974 98904 102708 106632 111267 115518 119961 148356 154024 159948 173277 205416 222534 231036 239922 296712 319896 333801 346554 445068 462072 469477 479844 519831 667602 693108 890136 938954 959688 1039662 1335204 1386216 1408431 1559493 1877908 2079324 2670408 2816862 3118986 3755816 4158648 4225293 5633724 6103201 6237972 8450586 11267448 12206402 12475944 12675879 16901172 18309603 24412804 25351758 33802344 36619206 38027637 48825608 50703516 54928809 73238412 76055274 101407032 109857618 146476824 152110548 164786427 219715236 304221096 329572854 439430472 494359281 659145708 988718562 1318291416 1977437124 3954874248