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99378112 = 267389239
BaseRepresentation
bin1011110110001…
…10001111000000
320220222221010211
411323012033000
5200420044422
613510003504
72314462051
oct573061700
9226887124
1099378112
1151107279
1229346594
1317786722
14d2ac728
158ad0577
hex5ec63c0

99378112 has 56 divisors (see below), whose sum is σ = 202996800. Its totient is φ = 48254976.

The previous prime is 99378091. The next prime is 99378119. The reversal of 99378112 is 21187399.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99378119) 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 7 ways as a sum of consecutive naturals, for example, 415689 + ... + 415927.

Almost surely, 299378112 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 99378112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101498400).

99378112 is an abundant number, since it is smaller than the sum of its proper divisors (103618688).

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

99378112 is a wasteful number, since it uses less digits than its factorization.

99378112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 403 counting only the distinct ones).

The product of its digits is 27216, while the sum is 40.

The square root of 99378112 is about 9968.8571060077. The cubic root of 99378112 is about 463.1946990762.

The spelling of 99378112 in words is "ninety-nine million, three hundred seventy-eight thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 73 89 146 178 239 292 356 478 584 712 956 1168 1424 1912 2336 2848 3824 4672 5696 6497 7648 12994 15296 17447 21271 25988 34894 42542 51976 69788 85084 103952 139576 170168 207904 279152 340336 415808 558304 680672 1116608 1361344 1552783 3105566 6211132 12422264 24844528 49689056 99378112