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9426144 = 253713283
BaseRepresentation
bin100011111101…
…010011100000
3122201220020110
4203331103200
54403114034
6534011320
7143056320
oct43752340
918656213
109426144
115359002
1231a6b40
131c50600
141375280
15c62de9
hex8fd4e0

9426144 has 144 divisors (see below), whose sum is σ = 30989952. Its totient is φ = 2456064.

The previous prime is 9426107. The next prime is 9426161. The reversal of 9426144 is 4416249.

9426144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (6912) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113527 + ... + 113609.

It is an arithmetic number, because the mean of its divisors is an integer number (215208).

Almost surely, 29426144 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 9426144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15494976).

9426144 is an abundant number, since it is smaller than the sum of its proper divisors (21563808).

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

9426144 is a wasteful number, since it uses less digits than its factorization.

9426144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 108 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 9426144 is about 3070.2025991781. The cubic root of 9426144 is about 211.2409069064.

The spelling of 9426144 in words is "nine million, four hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 83 84 91 96 104 112 156 166 168 169 182 208 224 249 273 312 332 336 338 364 416 498 507 546 581 624 664 672 676 728 996 1014 1079 1092 1162 1183 1248 1328 1352 1456 1743 1992 2028 2158 2184 2324 2366 2656 2704 2912 3237 3486 3549 3984 4056 4316 4368 4648 4732 5408 6474 6972 7098 7553 7968 8112 8632 8736 9296 9464 12948 13944 14027 14196 15106 16224 17264 18592 18928 22659 25896 27888 28054 28392 30212 34528 37856 42081 45318 51792 55776 56108 56784 60424 84162 90636 98189 103584 112216 113568 120848 168324 181272 196378 224432 241696 294567 336648 362544 392756 448864 589134 673296 725088 785512 1178268 1346592 1571024 2356536 3142048 4713072 9426144