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99020448 = 2533313697
BaseRepresentation
bin1011110011011…
…10111010100000
320220022202112000
411321232322200
5200322123243
613454204000
72311442232
oct571567240
9226282460
1099020448
115099258a
12291b3600
131768c9a7
14d218252
158a5e5d3
hex5e6eea0

99020448 has 96 divisors (see below), whose sum is σ = 298206720. Its totient is φ = 31933440.

The previous prime is 99020447. The next prime is 99020477. The reversal of 99020448 is 84402099.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (99020447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24936 + ... + 28632.

It is an arithmetic number, because the mean of its divisors is an integer number (3106320).

Almost surely, 299020448 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 99020448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149103360).

99020448 is an abundant number, since it is smaller than the sum of its proper divisors (199186272).

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

99020448 is a wasteful number, since it uses less digits than its factorization.

99020448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3747 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 99020448 is about 9950.9018686750. The cubic root of 99020448 is about 462.6383484824.

The spelling of 99020448 in words is "ninety-nine million, twenty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 837 864 992 1116 1488 1674 2232 2976 3348 3697 4464 6696 7394 8928 11091 13392 14788 22182 26784 29576 33273 44364 59152 66546 88728 99819 114607 118304 133092 177456 199638 229214 266184 343821 354912 399276 458428 532368 687642 798552 916856 1031463 1064736 1375284 1597104 1833712 2062926 2750568 3094389 3194208 3667424 4125852 5501136 6188778 8251704 11002272 12377556 16503408 24755112 33006816 49510224 99020448