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93030144 = 283294177
BaseRepresentation
bin1011000101110…
…00011100000000
320111001102100220
411202320130000
5142303431034
613121543040
72206512624
oct542703400
9214042326
1093030144
1148570a19
12271a4a80
131637322c
14c4d9184
158279749
hex58b8700

93030144 has 72 divisors (see below), whose sum is σ = 256194960. Its totient is φ = 29933568.

The previous prime is 93030139. The next prime is 93030181. The reversal of 93030144 is 44103039.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 20184 + ... + 24360.

Almost surely, 293030144 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 93030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128097480).

93030144 is an abundant number, since it is smaller than the sum of its proper divisors (163164816).

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

93030144 is a wasteful number, since it uses less digits than its factorization.

93030144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4225 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 93030144 is about 9645.2135279630. The cubic root of 93030144 is about 453.1144348801.

The spelling of 93030144 in words is "ninety-three million, thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 696 768 928 1392 1856 2784 3712 4177 5568 7424 8354 11136 12531 16708 22272 25062 33416 50124 66832 100248 121133 133664 200496 242266 267328 363399 400992 484532 534656 726798 801984 969064 1069312 1453596 1603968 1938128 2907192 3207936 3876256 5814384 7752512 11628768 15505024 23257536 31010048 46515072 93030144