Search a number
-
+
98236416 = 211359271
BaseRepresentation
bin1011101101011…
…11100000000000
320211211221000210
411312233200000
5200122031131
613425314120
72301665355
oct566574000
9224757023
1098236416
11504a7523
1228a95940
1317476b75
14d09262c
158957146
hex5daf800

98236416 has 96 divisors (see below), whose sum is σ = 267321600. Its totient is φ = 32071680.

The previous prime is 98236349. The next prime is 98236423. The reversal of 98236416 is 61463289.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 362361 + ... + 362631.

It is an arithmetic number, because the mean of its divisors is an integer number (2784600).

Almost surely, 298236416 is an apocalyptic number.

98236416 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 98236416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133660800).

98236416 is an abundant number, since it is smaller than the sum of its proper divisors (169085184).

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

98236416 is a wasteful number, since it uses less digits than its factorization.

98236416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 335 counting only the distinct ones).

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

The square root of 98236416 is about 9911.4285549561. The cubic root of 98236416 is about 461.4140732828.

The spelling of 98236416 in words is "ninety-eight million, two hundred thirty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 256 271 354 384 472 512 542 708 768 813 944 1024 1084 1416 1536 1626 1888 2048 2168 2832 3072 3252 3776 4336 5664 6144 6504 7552 8672 11328 13008 15104 15989 17344 22656 26016 30208 31978 34688 45312 47967 52032 60416 63956 69376 90624 95934 104064 120832 127912 138752 181248 191868 208128 255824 277504 362496 383736 416256 511648 555008 767472 832512 1023296 1534944 1665024 2046592 3069888 4093184 6139776 8186368 12279552 16372736 24559104 32745472 49118208 98236416