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98608632 = 233194347107
BaseRepresentation
bin1011110000010…
…10010111111000
320212112211121120
411320022113320
5200220434012
613441305240
72305105503
oct570122770
9225484546
1098608632
1150731141
1229035220
1317577405
14d14c13a
1589cc58c
hex5e0a5f8

98608632 has 128 divisors (see below), whose sum is σ = 273715200. Its totient is φ = 29490048.

The previous prime is 98608607. The next prime is 98608637. The reversal of 98608632 is 23680689.

It is a super-2 number, since 2×986086322 = 19447324609822848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98608637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 921523 + ... + 921629.

It is an arithmetic number, because the mean of its divisors is an integer number (2138400).

Almost surely, 298608632 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 98608632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136857600).

98608632 is an abundant number, since it is smaller than the sum of its proper divisors (175106568).

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

98608632 is a wasteful number, since it uses less digits than its factorization.

98608632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 98608632 is about 9930.1879136298. The cubic root of 98608632 is about 461.9961019892.

The spelling of 98608632 in words is "ninety-eight million, six hundred eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 43 47 57 76 86 94 107 114 129 141 152 172 188 214 228 258 282 321 344 376 428 456 516 564 642 817 856 893 1032 1128 1284 1634 1786 2021 2033 2451 2568 2679 3268 3572 4042 4066 4601 4902 5029 5358 6063 6099 6536 7144 8084 8132 9202 9804 10058 10716 12126 12198 13803 15087 16168 16264 18404 19608 20116 21432 24252 24396 27606 30174 36808 38399 40232 48504 48792 55212 60348 76798 87419 95551 110424 115197 120696 153596 174838 191102 216247 230394 262257 286653 307192 349676 382204 432494 460788 524514 573306 648741 699352 764408 864988 921576 1049028 1146612 1297482 1729976 2098056 2293224 2594964 4108693 5189928 8217386 12326079 16434772 24652158 32869544 49304316 98608632