Search a number
-
+
1464890238 = 233717311733
BaseRepresentation
bin101011101010000…
…0111001101111110
310210002110010122000
41113110013031332
511000002441423
6401205403130
751205235010
oct12724071576
93702403560
101464890238
1169198a799
1234a7094a6
131a464b576
14dc7a41b0
1588911843
hex5750737e

1464890238 has 128 divisors (see below), whose sum is σ = 3957258240. Its totient is φ = 392117760.

The previous prime is 1464890237. The next prime is 1464890243. The reversal of 1464890238 is 8320984641.

It is a happy number.

1464890238 is a `hidden beast` number, since 146 + 489 + 0 + 23 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1464890193 and 1464890202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1464890233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1998120 + ... + 1998852.

It is an arithmetic number, because the mean of its divisors is an integer number (30916080).

Almost surely, 21464890238 is an apocalyptic number.

1464890238 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1464890238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978629120).

1464890238 is an abundant number, since it is smaller than the sum of its proper divisors (2492368002).

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

1464890238 is a wasteful number, since it uses less digits than its factorization.

1464890238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 1464890238 is about 38273.8845428577. The cubic root of 1464890238 is about 1135.7123845160.

The spelling of 1464890238 in words is "one billion, four hundred sixty-four million, eight hundred ninety thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 306 311 357 378 459 622 714 733 918 933 1071 1466 1866 2142 2177 2199 2799 3213 4354 4398 5131 5287 5598 6426 6531 6597 8397 10262 10574 12461 13062 13194 15393 15861 16794 19593 19791 24922 30786 31722 37009 37383 39186 39582 46179 47583 58779 74018 74766 87227 92358 95166 111027 112149 117558 138537 142749 174454 222054 224298 227963 261681 277074 285498 333081 336447 455926 523362 666162 672894 683889 785043 999243 1367778 1570086 1595741 1998486 2051667 2355129 3191482 3875371 4103334 4710258 4787223 6155001 7750742 9574446 11626113 12310002 14361669 23252226 27127597 28723338 34878339 43085007 54255194 69756678 81382791 86170014 104635017 162765582 209270034 244148373 488296746 732445119 1464890238