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99509472 = 253567191
BaseRepresentation
bin1011110111001…
…10010011100000
320221020121100000
411323212103200
5200433300342
613512500000
72315550036
oct573462340
9227217300
1099509472
1151196a37
12293aa600
131780145a
14d304556
158b0944c
hex5ee64e0

99509472 has 144 divisors (see below), whose sum is σ = 299400192. Its totient is φ = 32503680.

The previous prime is 99509467. The next prime is 99509489. The reversal of 99509472 is 27490599.

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

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, 520897 + ... + 521087.

It is an arithmetic number, because the mean of its divisors is an integer number (2079168).

Almost surely, 299509472 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 99509472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149700096).

99509472 is an abundant number, since it is smaller than the sum of its proper divisors (199890720).

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

99509472 is a wasteful number, since it uses less digits than its factorization.

99509472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 99509472 is about 9975.4434487896. The cubic root of 99509472 is about 463.3986959298.

The spelling of 99509472 in words is "ninety-nine million, five hundred nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 67 72 81 96 108 134 144 162 191 201 216 243 268 288 324 382 402 432 486 536 573 603 648 764 804 864 972 1072 1146 1206 1296 1528 1608 1719 1809 1944 2144 2292 2412 2592 3056 3216 3438 3618 3888 4584 4824 5157 5427 6112 6432 6876 7236 7776 9168 9648 10314 10854 12797 13752 14472 15471 16281 18336 19296 20628 21708 25594 27504 28944 30942 32562 38391 41256 43416 46413 51188 55008 57888 61884 65124 76782 82512 86832 92826 102376 115173 123768 130248 153564 165024 173664 185652 204752 230346 247536 260496 307128 345519 371304 409504 460692 495072 520992 614256 691038 742608 921384 1036557 1228512 1382076 1485216 1842768 2073114 2764152 3109671 3685536 4146228 5528304 6219342 8292456 11056608 12438684 16584912 24877368 33169824 49754736 99509472