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98093424 = 243111331461
BaseRepresentation
bin1011101100011…
…00100101110000
320211120122212210
411312030211300
5200102442144
613422252120
72300531442
oct566144560
9224518783
1098093424
115040a050
1228a27040
1317426a60
14d056492
158929ab9
hex5d8c970

98093424 has 160 divisors (see below), whose sum is σ = 307980288. Its totient is φ = 26496000.

The previous prime is 98093423. The next prime is 98093441. The reversal of 98093424 is 42439089.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98093423) 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 31 ways as a sum of consecutive naturals, for example, 212554 + ... + 213014.

Almost surely, 298093424 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 98093424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153990144).

98093424 is an abundant number, since it is smaller than the sum of its proper divisors (209886864).

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

98093424 is a wasteful number, since it uses less digits than its factorization.

98093424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 98093424 is about 9904.2124371401. The cubic root of 98093424 is about 461.1900879139.

The spelling of 98093424 in words is "ninety-eight million, ninety-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 31 33 39 44 48 52 62 66 78 88 93 104 124 132 143 156 176 186 208 248 264 286 312 341 372 403 429 461 496 528 572 624 682 744 806 858 922 1023 1144 1209 1364 1383 1488 1612 1716 1844 2046 2288 2418 2728 2766 3224 3432 3688 4092 4433 4836 5071 5456 5532 5993 6448 6864 7376 8184 8866 9672 10142 11064 11986 13299 14291 15213 16368 17732 17979 19344 20284 22128 23972 26598 28582 30426 35464 35958 40568 42873 47944 53196 57164 60852 65923 70928 71916 81136 85746 95888 106392 114328 121704 131846 143832 157201 171492 185783 197769 212784 228656 243408 263692 287664 314402 342984 371566 395538 471603 527384 557349 628804 685968 743132 791076 943206 1054768 1114698 1257608 1486264 1582152 1886412 2043613 2229396 2515216 2972528 3164304 3772824 4087226 4458792 6130839 7545648 8174452 8917584 12261678 16348904 24523356 32697808 49046712 98093424