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188830464 = 283713463
BaseRepresentation
bin10110100000101…
…01001100000000
3111011022120200220
423100111030000
5341320033324
630423143040
74452014064
oct1320251400
9434276626
10188830464
1197654139
12532a4a80
1330176304
141b115aa4
151189eb79
hexb415300

188830464 has 72 divisors (see below), whose sum is σ = 509789952. Its totient is φ = 62039040.

The previous prime is 188830457. The next prime is 188830469. The reversal of 188830464 is 464038881.

188830464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (188830469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52797 + ... + 56259.

It is an arithmetic number, because the mean of its divisors is an integer number (7080416).

Almost surely, 2188830464 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 188830464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254894976).

188830464 is an abundant number, since it is smaller than the sum of its proper divisors (320959488).

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

188830464 is an equidigital number, since it uses as much as digits as its factorization.

188830464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3553 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 188830464 is about 13741.5597367984. The cubic root of 188830464 is about 573.7077105354.

The spelling of 188830464 in words is "one hundred eighty-eight million, eight hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 384 426 568 768 852 1136 1704 2272 3408 3463 4544 6816 6926 9088 10389 13632 13852 18176 20778 27264 27704 41556 54528 55408 83112 110816 166224 221632 245873 332448 443264 491746 664896 737619 886528 983492 1329792 1475238 1966984 2659584 2950476 3933968 5900952 7867936 11801904 15735872 23603808 31471744 47207616 62943488 94415232 188830464