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188484864 = 2831912917
BaseRepresentation
bin10110011110000…
…00110100000000
3111010200000121220
423033000310000
5341223003424
630411515040
74446044361
oct1317006400
9433600556
10188484864
1197438517
1253158a80
1330084c09
141b065b68
1511832579
hexb3c0d00

188484864 has 72 divisors (see below), whose sum is σ = 528087840. Its totient is φ = 59516928.

The previous prime is 188484859. The next prime is 188484889. The reversal of 188484864 is 468484881.

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 7 ways as a sum of consecutive naturals, for example, 8134 + ... + 21050.

Almost surely, 2188484864 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 188484864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264043920).

188484864 is an abundant number, since it is smaller than the sum of its proper divisors (339602976).

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

188484864 is a wasteful number, since it uses less digits than its factorization.

188484864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12955 (or 12941 counting only the distinct ones).

The product of its digits is 1572864, while the sum is 51.

The square root of 188484864 is about 13728.9789860718. The cubic root of 188484864 is about 573.3574943246.

The spelling of 188484864 in words is "one hundred eighty-eight million, four hundred eighty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 912 1216 1824 2432 3648 4864 7296 12917 14592 25834 38751 51668 77502 103336 155004 206672 245423 310008 413344 490846 620016 736269 826688 981692 1240032 1472538 1653376 1963384 2480064 2945076 3306752 3926768 4960128 5890152 7853536 9920256 11780304 15707072 23560608 31414144 47121216 62828288 94242432 188484864