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98401644 = 2232111747311
BaseRepresentation
bin1011101110101…
…11110101101100
320212011022200100
411313113311230
5200142323034
613433031100
72303254155
oct567276554
9225138610
1098401644
11505aa680
1228b55490
1317504133
14d0d692c
15898b099
hex5dd7d6c

98401644 has 144 divisors (see below), whose sum is σ = 294368256. Its totient is φ = 27379200.

The previous prime is 98401637. The next prime is 98401651. The reversal of 98401644 is 44610489.

It is a happy number.

98401644 is a `hidden beast` number, since 9 + 8 + 4 + 0 + 1 + 644 = 666.

It is an interprime number because it is at equal distance from previous prime (98401637) and next prime (98401651).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 98401599 and 98401608.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 316249 + ... + 316559.

It is an arithmetic number, because the mean of its divisors is an integer number (2044224).

Almost surely, 298401644 is an apocalyptic number.

98401644 is a gapful number since it is divisible by the number (94) 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 98401644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147184128).

98401644 is an abundant number, since it is smaller than the sum of its proper divisors (195966612).

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

98401644 is a wasteful number, since it uses less digits than its factorization.

98401644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 98401644 is about 9919.7602793616. The cubic root of 98401644 is about 461.6726190257.

The spelling of 98401644 in words is "ninety-eight million, four hundred one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 47 51 66 68 94 99 102 132 141 153 187 188 198 204 282 306 311 374 396 423 517 561 564 612 622 748 799 846 933 1034 1122 1244 1551 1598 1683 1692 1866 2068 2244 2397 2799 3102 3196 3366 3421 3732 4653 4794 5287 5598 6204 6732 6842 7191 8789 9306 9588 10263 10574 11196 13684 14382 14617 15861 17578 18612 20526 21148 26367 28764 29234 30789 31722 35156 41052 43851 47583 52734 58157 58468 61578 63444 79101 87702 95166 105468 116314 123156 131553 158202 160787 174471 175404 190332 232628 248489 263106 316404 321574 348942 482361 496978 523413 526212 643148 697884 745467 964722 993956 1046826 1447083 1490934 1929444 2093652 2236401 2733379 2894166 2981868 4472802 5466758 5788332 8200137 8945604 10933516 16400274 24600411 32800548 49200822 98401644