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156390444 = 223271989367
BaseRepresentation
bin10010101001001…
…01010000101100
3101220021110100200
421110211100230
5310013443234
623303553500
73606203550
oct1124452054
9356243320
10156390444
1180307501
124445b890
1326528832
1416aad860
15dae2d99
hex952542c

156390444 has 144 divisors (see below), whose sum is σ = 482227200. Its totient is φ = 41741568.

The previous prime is 156390433. The next prime is 156390491. The reversal of 156390444 is 444093651.

156390444 is a `hidden beast` number, since 1 + 563 + 90 + 4 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 156390399 and 156390408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 425949 + ... + 426315.

It is an arithmetic number, because the mean of its divisors is an integer number (3348800).

Almost surely, 2156390444 is an apocalyptic number.

156390444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156390444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241113600).

156390444 is an abundant number, since it is smaller than the sum of its proper divisors (325836756).

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

156390444 is a wasteful number, since it uses less digits than its factorization.

156390444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 156390444 is about 12505.6164981979. The cubic root of 156390444 is about 538.7699988090.

The spelling of 156390444 in words is "one hundred fifty-six million, three hundred ninety thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 89 114 126 133 171 178 228 252 266 267 342 356 367 399 532 534 623 684 734 798 801 1068 1101 1197 1246 1468 1596 1602 1691 1869 2202 2394 2492 2569 3204 3303 3382 3738 4404 4788 5073 5138 5607 6606 6764 6973 7476 7707 10146 10276 11214 11837 13212 13946 15219 15414 20292 20919 22428 23121 23674 27892 30438 30828 32663 35511 41838 46242 47348 48811 60876 62757 65326 71022 83676 92484 97622 97989 106533 125514 130652 142044 146433 195244 195978 213066 228641 251028 292866 293967 391956 426132 439299 457282 585732 587934 620597 685923 878598 914564 1175868 1241194 1371846 1757196 1861791 2057769 2482388 2743692 3723582 4115538 4344179 5585373 7447164 8231076 8688358 11170746 13032537 17376716 22341492 26065074 39097611 52130148 78195222 156390444