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94402944 = 2732192227
BaseRepresentation
bin1011010000001…
…11100110000000
320120122011111100
411220013212000
5143131343234
613211214400
72224261146
oct550074600
9216564440
1094402944
1149319369
1227747400
131673403c
14c775596
15844b399
hex5a07980

94402944 has 144 divisors (see below), whose sum is σ = 287967420. Its totient is φ = 29680128.

The previous prime is 94402937. The next prime is 94402981. The reversal of 94402944 is 44920449.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 94402899 and 94402908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 415759 + ... + 415985.

Almost surely, 294402944 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 94402944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143983710).

94402944 is an abundant number, since it is smaller than the sum of its proper divisors (193564476).

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

94402944 is a wasteful number, since it uses less digits than its factorization.

94402944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 94402944 is about 9716.1177432141. The cubic root of 94402944 is about 455.3323562926.

The spelling of 94402944 in words is "ninety-four million, four hundred two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 227 228 288 304 342 361 384 454 456 576 608 681 684 722 908 912 1083 1152 1216 1362 1368 1444 1816 1824 2043 2166 2432 2724 2736 2888 3249 3632 3648 4086 4313 4332 5448 5472 5776 6498 7264 7296 8172 8626 8664 10896 10944 11552 12939 12996 14528 16344 17252 17328 21792 21888 23104 25878 25992 29056 32688 34504 34656 38817 43584 46208 51756 51984 65376 69008 69312 77634 81947 87168 103512 103968 130752 138016 138624 155268 163894 207024 207936 245841 261504 276032 310536 327788 414048 415872 491682 552064 621072 655576 737523 828096 983364 1242144 1311152 1475046 1656192 1966728 2484288 2622304 2950092 3933456 4968576 5244608 5900184 7866912 10489216 11800368 15733824 23600736 31467648 47201472 94402944