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94550016 = 2113111399
BaseRepresentation
bin1011010001010…
…11100000000000
320120220122020110
411220223200000
5143201100031
613214311320
72225443011
oct550534000
9216818213
1094550016
1149409910
12277b8540
1316785c72
14c7b3008
158479c46
hex5a2b800

94550016 has 96 divisors (see below), whose sum is σ = 275184000. Its totient is φ = 28631040.

The previous prime is 94549999. The next prime is 94550047. The reversal of 94550016 is 61005549.

It is a tau number, because it is divible by the number of its divisors (96).

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, 66885 + ... + 68283.

It is an arithmetic number, because the mean of its divisors is an integer number (2866500).

Almost surely, 294550016 is an apocalyptic number.

94550016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94550016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137592000).

94550016 is an abundant number, since it is smaller than the sum of its proper divisors (180633984).

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

94550016 is a wasteful number, since it uses less digits than its factorization.

94550016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 94550016 is about 9723.6832527597. The cubic root of 94550016 is about 455.5686903565.

The spelling of 94550016 in words is "ninety-four million, five hundred fifty thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1399 1408 1536 2048 2112 2798 2816 3072 4197 4224 5596 5632 6144 8394 8448 11192 11264 15389 16788 16896 22384 22528 30778 33576 33792 44768 46167 61556 67152 67584 89536 92334 123112 134304 179072 184668 246224 268608 358144 369336 492448 537216 716288 738672 984896 1074432 1432576 1477344 1969792 2148864 2865152 2954688 3939584 4297728 5909376 7879168 8595456 11818752 15758336 23637504 31516672 47275008 94550016