Search a number
-
+
99490656 = 25331101331
BaseRepresentation
bin1011110111000…
…01101101100000
320221012122112010
411323201231200
5200432200111
613512232520
72315441136
oct573415540
9227178463
1099490656
1151183891
122939b740
13177c5a15
14d2db756
158b03aa6
hex5ee1b60

99490656 has 96 divisors (see below), whose sum is σ = 273079296. Its totient is φ = 31680000.

The previous prime is 99490649. The next prime is 99490661. The reversal of 99490656 is 65609499.

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 (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300411 + ... + 300741.

It is an arithmetic number, because the mean of its divisors is an integer number (2844576).

Almost surely, 299490656 is an apocalyptic number.

99490656 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99490656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136539648).

99490656 is an abundant number, since it is smaller than the sum of its proper divisors (173588640).

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

99490656 is a wasteful number, since it uses less digits than its factorization.

99490656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The square root of 99490656 is about 9974.5002882350. The cubic root of 99490656 is about 463.3694864509.

The spelling of 99490656 in words is "ninety-nine million, four hundred ninety thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 101 124 186 202 248 303 331 372 404 496 606 662 744 808 992 993 1212 1324 1488 1616 1986 2424 2648 2976 3131 3232 3972 4848 5296 6262 7944 9393 9696 10261 10592 12524 15888 18786 20522 25048 30783 31776 33431 37572 41044 50096 61566 66862 75144 82088 100192 100293 123132 133724 150288 164176 200586 246264 267448 300576 328352 401172 492528 534896 802344 985056 1036361 1069792 1604688 2072722 3109083 3209376 4145444 6218166 8290888 12436332 16581776 24872664 33163552 49745328 99490656