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146389464 = 233313371409
BaseRepresentation
bin10001011100110…
…11100111011000
3101012110100121000
420232123213120
5244433430324
622305345000
73425201304
oct1056334730
9335410530
10146389464
11756a6631
1241038160
13244366b0
1415628d04
15ccb99c9
hex8b9b9d8

146389464 has 128 divisors (see below), whose sum is σ = 450072000. Its totient is φ = 43794432.

The previous prime is 146389459. The next prime is 146389489. The reversal of 146389464 is 464983641.

146389464 is a `hidden beast` number, since 1 + 4 + 638 + 9 + 4 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103192 + ... + 104600.

Almost surely, 2146389464 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 146389464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225036000).

146389464 is an abundant number, since it is smaller than the sum of its proper divisors (303682536).

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

146389464 is a wasteful number, since it uses less digits than its factorization.

146389464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1464 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 146389464 is about 12099.1513751998. The cubic root of 146389464 is about 527.0315408512.

The spelling of 146389464 in words is "one hundred forty-six million, three hundred eighty-nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 37 39 52 54 72 74 78 104 108 111 117 148 156 216 222 234 296 312 333 351 444 468 481 666 702 888 936 962 999 1332 1404 1409 1443 1924 1998 2664 2808 2818 2886 3848 3996 4227 4329 5636 5772 7992 8454 8658 11272 11544 12681 12987 16908 17316 18317 25362 25974 33816 34632 36634 38043 50724 51948 52133 54951 73268 76086 101448 103896 104266 109902 146536 152172 156399 164853 208532 219804 304344 312798 329706 417064 439608 469197 494559 625596 659412 677729 938394 989118 1251192 1318824 1355458 1407591 1876788 1978236 2033187 2710916 2815182 3753576 3956472 4066374 5421832 5630364 6099561 8132748 11260728 12199122 16265496 18298683 24398244 36597366 48796488 73194732 146389464