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94490496 = 2733191439
BaseRepresentation
bin1011010000111…
…00111110000000
320120210121121000
411220130332000
5143142143441
613213132000
72225104332
oct550347600
9216717530
1094490496
1149379121
122778a000
1316764b49
14c799452
1584672b6
hex5a1cf80

94490496 has 128 divisors (see below), whose sum is σ = 293760000. Its totient is φ = 29818368.

The previous prime is 94490491. The next prime is 94490521. The reversal of 94490496 is 69409449.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94490491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64945 + ... + 66383.

It is an arithmetic number, because the mean of its divisors is an integer number (2295000).

Almost surely, 294490496 is an apocalyptic number.

94490496 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 94490496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146880000).

94490496 is an abundant number, since it is smaller than the sum of its proper divisors (199269504).

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

94490496 is a wasteful number, since it uses less digits than its factorization.

94490496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 94490496 is about 9720.6222023078. The cubic root of 94490496 is about 455.4730755649.

The spelling of 94490496 in words is "ninety-four million, four hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 288 304 342 384 432 456 513 576 608 684 864 912 1026 1152 1216 1368 1439 1728 1824 2052 2432 2736 2878 3456 3648 4104 4317 5472 5756 7296 8208 8634 10944 11512 12951 16416 17268 21888 23024 25902 27341 32832 34536 38853 46048 51804 54682 65664 69072 77706 82023 92096 103608 109364 138144 155412 164046 184192 207216 218728 246069 276288 310824 328092 414432 437456 492138 552576 621648 656184 738207 828864 874912 984276 1243296 1312368 1476414 1657728 1749824 1968552 2486592 2624736 2952828 3499648 3937104 4973184 5249472 5905656 7874208 10498944 11811312 15748416 23622624 31496832 47245248 94490496