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99935352 = 233211211471
BaseRepresentation
bin1011111010011…
…10010001111000
320222001020112100
411331032101320
5201040412402
613525543400
72322302466
oct575162170
9228036470
1099935352
1151457a00
1229574b60
131792025a
14d3b5836
158b9071c
hex5f4e478

99935352 has 72 divisors (see below), whose sum is σ = 297526320. Its totient is φ = 30280800.

The previous prime is 99935347. The next prime is 99935357. The reversal of 99935352 is 25353999.

It is an interprime number because it is at equal distance from previous prime (99935347) and next prime (99935357).

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 99935298 and 99935307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99935357) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2977 + ... + 14447.

It is an arithmetic number, because the mean of its divisors is an integer number (4132310).

Almost surely, 299935352 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 99935352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148763160).

99935352 is an abundant number, since it is smaller than the sum of its proper divisors (197590968).

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

99935352 is a wasteful number, since it uses less digits than its factorization.

99935352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11505 (or 11487 counting only the distinct ones).

The product of its digits is 328050, while the sum is 45.

The square root of 99935352 is about 9996.7670774106. The cubic root of 99935352 is about 464.0588386542.

The spelling of 99935352 in words is "ninety-nine million, nine hundred thirty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 11471 22942 34413 45884 68826 91768 103239 126181 137652 206478 252362 275304 378543 412956 504724 757086 825912 1009448 1135629 1387991 1514172 2271258 2775982 3028344 4163973 4542516 5551964 8327946 9085032 11103928 12491919 16655892 24983838 33311784 49967676 99935352