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146426742 = 232711293643
BaseRepresentation
bin10001011101001…
…00101101110110
3101012112020201200
420232210231312
5244441123432
622310233330
73425415060
oct1056445566
9335466650
10146426742
1175721640
1241055846
132444a657
1415638730
15ccc5a7c
hex8ba4b76

146426742 has 96 divisors (see below), whose sum is σ = 409294080. Its totient is φ = 36711360.

The previous prime is 146426741. The next prime is 146426773. The reversal of 146426742 is 247624641.

146426742 is a `hidden beast` number, since 1 + 4 + 642 + 6 + 7 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 146426697 and 146426706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146426741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38373 + ... + 42015.

It is an arithmetic number, because the mean of its divisors is an integer number (4263480).

Almost surely, 2146426742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146426742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204647040).

146426742 is an abundant number, since it is smaller than the sum of its proper divisors (262867338).

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

146426742 is a wasteful number, since it uses less digits than its factorization.

146426742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3698 (or 3695 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 146426742 is about 12100.6917984056. The cubic root of 146426742 is about 527.0762731559.

The spelling of 146426742 in words is "one hundred forty-six million, four hundred twenty-six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 29 33 42 58 63 66 77 87 99 126 154 174 198 203 231 261 319 406 462 522 609 638 693 957 1218 1386 1827 1914 2233 2871 3643 3654 4466 5742 6699 7286 10929 13398 20097 21858 25501 32787 40073 40194 51002 65574 76503 80146 105647 120219 153006 211294 229509 240438 280511 316941 360657 459018 561022 633882 721314 739529 841533 950823 1162117 1479058 1683066 1901646 2218587 2324234 2524599 3486351 4437174 5049198 6655761 6972702 8134819 10459053 13311522 16269638 20918106 24404457 48808914 73213371 146426742