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98488416 = 25313531489
BaseRepresentation
bin1011101111011…
…01000001100000
320212022201201010
411313231001200
5200203112131
613434540520
72304065145
oct567550140
9225281633
1098488416
1150659894
1228b97740
1317534790
14d11a3cc
1589a6b46
hex5ded060

98488416 has 96 divisors (see below), whose sum is σ = 283862880. Its totient is φ = 29712384.

The previous prime is 98488387. The next prime is 98488421. The reversal of 98488416 is 61488489.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65400 + ... + 66888.

It is an arithmetic number, because the mean of its divisors is an integer number (2956905).

Almost surely, 298488416 is an apocalyptic number.

98488416 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 98488416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141931440).

98488416 is an abundant number, since it is smaller than the sum of its proper divisors (185374464).

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

98488416 is a wasteful number, since it uses less digits than its factorization.

98488416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1560 counting only the distinct ones).

The product of its digits is 442368, while the sum is 48.

The square root of 98488416 is about 9924.1330099914. The cubic root of 98488416 is about 461.8082823656.

The spelling of 98488416 in words is "ninety-eight million, four hundred eighty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 53 78 96 104 106 156 159 208 212 312 318 416 424 624 636 689 848 1248 1272 1378 1489 1696 2067 2544 2756 2978 4134 4467 5088 5512 5956 8268 8934 11024 11912 16536 17868 19357 22048 23824 33072 35736 38714 47648 58071 66144 71472 77428 78917 116142 142944 154856 157834 232284 236751 309712 315668 464568 473502 619424 631336 929136 947004 1025921 1262672 1858272 1894008 2051842 2525344 3077763 3788016 4103684 6155526 7576032 8207368 12311052 16414736 24622104 32829472 49244208 98488416