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99484416 = 283337389
BaseRepresentation
bin1011110111000…
…00001100000000
320221012022222000
411323200030000
5200432000131
613512144000
72315414013
oct573401400
9227168860
1099484416
115117a129
1229398000
13177c2c25
14d2d937a
158b01ce6
hex5ee0300

99484416 has 144 divisors (see below), whose sum is σ = 302920800. Its totient is φ = 32182272.

The previous prime is 99484393. The next prime is 99484421. The reversal of 99484416 is 61448499.

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

It is a super-2 number, since 2×994844162 = 19794298053722112, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255550 + ... + 255938.

Almost surely, 299484416 is an apocalyptic number.

99484416 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 99484416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151460400).

99484416 is an abundant number, since it is smaller than the sum of its proper divisors (203436384).

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

99484416 is a wasteful number, since it uses less digits than its factorization.

99484416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 431 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 99484416 is about 9974.1874857053. The cubic root of 99484416 is about 463.3597988207.

The spelling of 99484416 in words is "ninety-nine million, four hundred eighty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 128 144 148 192 216 222 256 288 296 333 384 389 432 444 576 592 666 768 778 864 888 999 1152 1167 1184 1332 1556 1728 1776 1998 2304 2334 2368 2664 3112 3456 3501 3552 3996 4668 4736 5328 6224 6912 7002 7104 7992 9336 9472 10503 10656 12448 14004 14208 14393 15984 18672 21006 21312 24896 28008 28416 28786 31968 37344 42012 42624 43179 49792 56016 57572 63936 74688 84024 85248 86358 99584 112032 115144 127872 129537 149376 168048 172716 224064 230288 255744 259074 298752 336096 345432 388611 448128 460576 518148 672192 690864 777222 896256 921152 1036296 1344384 1381728 1554444 1842304 2072592 2688768 2763456 3108888 3684608 4145184 5526912 6217776 8290368 11053824 12435552 16580736 24871104 33161472 49742208 99484416