Search a number
-
+
99903744 = 2832131331
BaseRepresentation
bin1011111010001…
…10100100000000
320221222122011200
411331012210000
5201033404434
613525141200
72322111363
oct575064400
9227878150
1099903744
1151436186
122955a800
131790ba55
14d3a80da
158b86199
hex5f46900

99903744 has 108 divisors (see below), whose sum is σ = 291122832. Its totient is φ = 32947200.

The previous prime is 99903709. The next prime is 99903751. The reversal of 99903744 is 44730999.

It is a self number, because there is not a number n which added to its sum of digits gives 99903744.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301659 + ... + 301989.

Almost surely, 299903744 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 99903744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145561416).

99903744 is an abundant number, since it is smaller than the sum of its proper divisors (191219088).

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

99903744 is a wasteful number, since it uses less digits than its factorization.

99903744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 99903744 is about 9995.1860412901. The cubic root of 99903744 is about 464.0099086271.

The spelling of 99903744 in words is "ninety-nine million, nine hundred three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 131 144 192 256 262 288 331 384 393 524 576 662 768 786 993 1048 1152 1179 1324 1572 1986 2096 2304 2358 2648 2979 3144 3972 4192 4716 5296 5958 6288 7944 8384 9432 10592 11916 12576 15888 16768 18864 21184 23832 25152 31776 33536 37728 42368 43361 47664 50304 63552 75456 84736 86722 95328 100608 127104 130083 150912 173444 190656 254208 260166 301824 346888 381312 390249 520332 693776 762624 780498 1040664 1387552 1560996 2081328 2775104 3121992 4162656 5550208 6243984 8325312 11100416 12487968 16650624 24975936 33301248 49951872 99903744