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154700442 = 234131729149
BaseRepresentation
bin10010011100010…
…00101010011010
3101210002121010000
421032020222122
5304100403232
623203433430
73555634461
oct1116105232
9353077100
10154700442
117a362806
1243985876
1326086530
141678d9d8
15d8ac27c
hex9388a9a

154700442 has 160 divisors (see below), whose sum is σ = 411642000. Its totient is φ = 42964992.

The previous prime is 154700437. The next prime is 154700443. The reversal of 154700442 is 244007451.

154700442 is a `hidden beast` number, since 154 + 70 + 0 + 442 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 39803481 + 114896961 = 6309^2 + 10719^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (154700443) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1038184 + ... + 1038332.

Almost surely, 2154700442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154700442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205821000).

154700442 is an abundant number, since it is smaller than the sum of its proper divisors (256941558).

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

154700442 is a wasteful number, since it uses less digits than its factorization.

154700442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 154700442 is about 12437.8632409269. The cubic root of 154700442 is about 536.8222625793.

Adding to 154700442 its reverse (244007451), we get a palindrome (398707893).

The spelling of 154700442 in words is "one hundred fifty-four million, seven hundred thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 17 18 26 27 29 34 39 51 54 58 78 81 87 102 117 149 153 162 174 221 234 261 298 306 351 377 442 447 459 493 522 663 702 754 783 894 918 986 1053 1131 1326 1341 1377 1479 1566 1937 1989 2106 2262 2349 2533 2682 2754 2958 3393 3874 3978 4023 4321 4437 4698 5066 5811 5967 6409 6786 7599 8046 8642 8874 10179 11622 11934 12069 12818 12963 13311 15198 17433 17901 19227 20358 22797 24138 25926 26622 30537 32929 34866 35802 38454 38889 39933 45594 52299 56173 57681 61074 65858 68391 73457 77778 79866 98787 104598 112346 115362 116667 136782 146914 156897 168519 173043 197574 205173 220371 233334 296361 313794 337038 346086 350001 410346 440742 505557 519129 592722 661113 700002 889083 954941 1011114 1038258 1322226 1516671 1778166 1909882 1983339 2667249 2864823 3033342 3966678 4550013 5334498 5729646 5950017 8594469 9100026 11900034 17188938 25783407 51566814 77350221 154700442