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99403488 = 25321779257
BaseRepresentation
bin1011110110011…
…00011011100000
320221001012221200
411323030123200
5200421402423
613510321200
72314626042
oct573143340
9227035850
1099403488
1151124348
1229359200
1317795142
14d2b7a92
158ad7d43
hex5ecc6e0

99403488 has 144 divisors (see below), whose sum is σ = 304274880. Its totient is φ = 30670848.

The previous prime is 99403483. The next prime is 99403511. The reversal of 99403488 is 88430499.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×994034882 = 19762106853132288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99403481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386656 + ... + 386912.

It is an arithmetic number, because the mean of its divisors is an integer number (2113020).

Almost surely, 299403488 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 99403488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152137440).

99403488 is an abundant number, since it is smaller than the sum of its proper divisors (204871392).

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

99403488 is a wasteful number, since it uses less digits than its factorization.

99403488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 99403488 is about 9970.1297885233. The cubic root of 99403488 is about 463.2341209976.

The spelling of 99403488 in words is "ninety-nine million, four hundred three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 79 96 102 136 144 153 158 204 237 257 272 288 306 316 408 474 514 544 612 632 711 771 816 948 1028 1224 1264 1343 1422 1542 1632 1896 2056 2313 2448 2528 2686 2844 3084 3792 4029 4112 4369 4626 4896 5372 5688 6168 7584 8058 8224 8738 9252 10744 11376 12087 12336 13107 16116 17476 18504 20303 21488 22752 24174 24672 26214 32232 34952 37008 39321 40606 42976 48348 52428 60909 64464 69904 74016 78642 81212 96696 104856 121818 128928 139808 157284 162424 182727 193392 209712 243636 314568 324848 345151 365454 386784 419424 487272 629136 649696 690302 730908 974544 1035453 1258272 1380604 1461816 1949088 2070906 2761208 2923632 3106359 4141812 5522416 5847264 6212718 8283624 11044832 12425436 16567248 24850872 33134496 49701744 99403488