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99999552 = 2633153317
BaseRepresentation
bin1011111010111…
…01111101000000
320222011111121010
411331131331000
5201044441202
613531200520
72322660612
oct575357500
9228144533
1099999552
11514a1164
12295a6140
1317943543
14d3d0db2
158ba476c
hex5f5df40

99999552 has 112 divisors (see below), whose sum is σ = 279148032. Its totient is φ = 31549440.

The previous prime is 99999551. The next prime is 99999563. The reversal of 99999552 is 25599999.

It is a super-3 number, since 3×999995523 (a number of 25 digits) contains 333 as substring.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 99999492 and 99999501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99999551) 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, 315298 + ... + 315614.

Almost surely, 299999552 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 99999552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139574016).

99999552 is an abundant number, since it is smaller than the sum of its proper divisors (179148480).

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

99999552 is a wasteful number, since it uses less digits than its factorization.

99999552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 406 counting only the distinct ones).

The product of its digits is 2952450, while the sum is 57.

The square root of 99999552 is about 9999.9775999749. The cubic root of 99999552 is about 464.1581902163.

The spelling of 99999552 in words is "ninety-nine million, nine hundred ninety-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 53 62 64 93 96 106 124 159 186 192 212 248 317 318 372 424 496 634 636 744 848 951 992 1268 1272 1488 1643 1696 1902 1984 2536 2544 2976 3286 3392 3804 4929 5072 5088 5952 6572 7608 9827 9858 10144 10176 13144 15216 16801 19654 19716 20288 26288 29481 30432 33602 39308 39432 50403 52576 58962 60864 67204 78616 78864 100806 105152 117924 134408 157232 157728 201612 235848 268816 314464 315456 403224 471696 520831 537632 628928 806448 943392 1041662 1075264 1562493 1612896 1886784 2083324 3124986 3225792 4166648 6249972 8333296 12499944 16666592 24999888 33333184 49999776 99999552