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99804432 = 24371373313
BaseRepresentation
bin1011111001011…
…10010100010000
320221210120221110
411330232110100
5201022220212
613523053320
72321216010
oct574562420
9227716843
1099804432
1151378602
1229511240
13178a57a0
14d37dc40
158b66a3c
hex5f2e510

99804432 has 160 divisors (see below), whose sum is σ = 322701568. Its totient is φ = 25878528.

The previous prime is 99804431. The next prime is 99804437. The reversal of 99804432 is 23440899.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (99804431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318708 + ... + 319020.

Almost surely, 299804432 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 99804432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161350784).

99804432 is an abundant number, since it is smaller than the sum of its proper divisors (222897136).

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

99804432 is a wasteful number, since it uses less digits than its factorization.

99804432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 99804432 is about 9990.2168144640. The cubic root of 99804432 is about 463.8561038138.

The spelling of 99804432 in words is "ninety-nine million, eight hundred four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 73 78 84 91 104 112 146 156 168 182 208 219 273 292 312 313 336 364 438 511 546 584 624 626 728 876 939 949 1022 1092 1168 1252 1456 1533 1752 1878 1898 2044 2184 2191 2504 2847 3066 3504 3756 3796 4069 4088 4368 4382 5008 5694 6132 6573 6643 7512 7592 8138 8176 8764 11388 12207 12264 13146 13286 15024 15184 16276 17528 19929 22776 22849 24414 24528 26292 26572 28483 32552 35056 39858 45552 45698 48828 52584 53144 56966 65104 68547 79716 85449 91396 97656 105168 106288 113932 137094 159432 159943 170898 182792 195312 227864 274188 297037 318864 319886 341796 365584 455728 479829 548376 594074 639772 683592 891111 959658 1096752 1188148 1279544 1367184 1782222 1919316 2079259 2376296 2559088 3564444 3838632 4158518 4752592 6237777 7128888 7677264 8317036 12475554 14257776 16634072 24951108 33268144 49902216 99804432