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99466056 = 2334296779
BaseRepresentation
bin1011110110110…
…11101101001000
320221011101210000
411323123231020
5200430403211
613511523000
72315306334
oct573335510
9227141700
1099466056
1151167358
1229389460
13177b7771
14d2d27c4
158aeb656
hex5edbb48

99466056 has 160 divisors (see below), whose sum is σ = 296208000. Its totient is φ = 31135104.

The previous prime is 99466039. The next prime is 99466057. The reversal of 99466056 is 65066499.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (99466057) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1259025 + ... + 1259103.

It is an arithmetic number, because the mean of its divisors is an integer number (1851300).

Almost surely, 299466056 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 99466056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148104000).

99466056 is an abundant number, since it is smaller than the sum of its proper divisors (196741944).

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

99466056 is a wasteful number, since it uses less digits than its factorization.

99466056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 99466056 is about 9973.2670675160. The cubic root of 99466056 is about 463.3312924822.

The spelling of 99466056 in words is "ninety-nine million, four hundred sixty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 67 72 79 81 87 108 116 134 158 162 174 201 216 232 237 261 268 316 324 348 402 474 522 536 603 632 648 696 711 783 804 948 1044 1206 1422 1566 1608 1809 1896 1943 2088 2133 2291 2349 2412 2844 3132 3618 3886 4266 4582 4698 4824 5293 5427 5688 5829 6264 6399 6873 7236 7772 8532 9164 9396 10586 10854 11658 12798 13746 14472 15544 15879 17064 17487 18328 18792 20619 21172 21708 23316 25596 27492 31758 34974 41238 42344 43416 46632 47637 51192 52461 54984 61857 63516 69948 82476 95274 104922 123714 127032 139896 142911 153497 157383 164952 185571 190548 209844 247428 285822 306994 314766 371142 381096 419688 428733 460491 494856 571644 613988 629532 742284 857466 920982 1143288 1227976 1259064 1381473 1484568 1714932 1841964 2762946 3429864 3683928 4144419 5525892 8288838 11051784 12433257 16577676 24866514 33155352 49733028 99466056