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146398864 = 24233141313
BaseRepresentation
bin10001011100111…
…01111010010000
3101012110211111011
420232131322100
5244434230424
622305500304
73425240563
oct1056357220
9335424434
10146398864
11757026a7
1241041694
132443aa61
141562c4da
15ccbc694
hex8b9de90

146398864 has 80 divisors (see below), whose sum is σ = 313979904. Its totient is φ = 65894400.

The previous prime is 146398829. The next prime is 146398877. The reversal of 146398864 is 468893641.

146398864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 467572 + ... + 467884.

Almost surely, 2146398864 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 146398864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156989952).

146398864 is an abundant number, since it is smaller than the sum of its proper divisors (167581040).

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

146398864 is a wasteful number, since it uses less digits than its factorization.

146398864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 410 counting only the distinct ones).

The product of its digits is 995328, while the sum is 49.

The square root of 146398864 is about 12099.5398259603. The cubic root of 146398864 is about 527.0428212405.

The spelling of 146398864 in words is "one hundred forty-six million, three hundred ninety-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 23 31 41 46 62 82 92 124 164 184 248 313 328 368 496 626 656 713 943 1252 1271 1426 1886 2504 2542 2852 3772 5008 5084 5704 7199 7544 9703 10168 11408 12833 14398 15088 19406 20336 25666 28796 29233 38812 51332 57592 58466 77624 102664 115184 116932 155248 205328 223169 233864 295159 397823 446338 467728 590318 795646 892676 1180636 1591292 1785352 2361272 3182584 3570704 4722544 6365168 9149929 18299858 36599716 73199432 146398864