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99473792 = 2711314353
BaseRepresentation
bin1011110110111…
…01100110000000
320221011210101112
411323131212000
5200431130132
613512022452
72315341025
oct573354600
9227153345
1099473792
1151172150
1229391a28
13177bb142
14d2d554c
158aedab2
hex5edd980

99473792 has 128 divisors (see below), whose sum is σ = 232657920. Its totient is φ = 41932800.

The previous prime is 99473743. The next prime is 99473807. The reversal of 99473792 is 29737499.

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

It is a self number, because there is not a number n which added to its sum of digits gives 99473792.

It is a congruent number.

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, 1876838 + ... + 1876890.

It is an arithmetic number, because the mean of its divisors is an integer number (1817640).

Almost surely, 299473792 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 99473792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116328960).

99473792 is an abundant number, since it is smaller than the sum of its proper divisors (133184128).

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

99473792 is a wasteful number, since it uses less digits than its factorization.

99473792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 140 counting only the distinct ones).

The product of its digits is 857304, while the sum is 50.

The square root of 99473792 is about 9973.6548967768. The cubic root of 99473792 is about 463.3433040773.

The spelling of 99473792 in words is "ninety-nine million, four hundred seventy-three thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 31 32 43 44 53 62 64 86 88 106 124 128 172 176 212 248 341 344 352 424 473 496 583 682 688 704 848 946 992 1166 1333 1364 1376 1408 1643 1696 1892 1984 2279 2332 2666 2728 2752 3286 3392 3784 3968 4558 4664 5332 5456 5504 6572 6784 7568 9116 9328 10664 10912 13144 14663 15136 18073 18232 18656 21328 21824 25069 26288 29326 30272 36146 36464 37312 42656 43648 50138 52576 58652 60544 70649 72292 72928 74624 85312 100276 105152 117304 141298 144584 145856 170624 200552 210304 234608 282596 289168 291712 401104 469216 565192 578336 777139 802208 938432 1130384 1156672 1554278 1604416 1876864 2260768 2313344 3108556 3208832 4521536 6217112 9043072 12434224 24868448 49736896 99473792