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98142192 = 2434411847
BaseRepresentation
bin1011101100110…
…00011111110000
320211200010210000
411312120133300
5200111022232
613423310000
72301123561
oct566303760
9224603700
1098142192
1150442755
1228a4b300
1317443005
14d06a168
15893927c
hex5d987f0

98142192 has 100 divisors (see below), whose sum is σ = 291137616. Its totient is φ = 31898880.

The previous prime is 98142181. The next prime is 98142197. The reversal of 98142192 is 29124189.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98142197) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 52213 + ... + 54059.

Almost surely, 298142192 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 98142192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145568808).

98142192 is an abundant number, since it is smaller than the sum of its proper divisors (192995424).

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

98142192 is a wasteful number, since it uses less digits than its factorization.

98142192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1893 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 98142192 is about 9906.6741139496. The cubic root of 98142192 is about 461.2665034745.

The spelling of 98142192 in words is "ninety-eight million, one hundred forty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 81 82 108 123 144 162 164 216 246 324 328 369 432 492 648 656 738 984 1107 1296 1476 1847 1968 2214 2952 3321 3694 4428 5541 5904 6642 7388 8856 11082 13284 14776 16623 17712 22164 26568 29552 33246 44328 49869 53136 66492 75727 88656 99738 132984 149607 151454 199476 227181 265968 299214 302908 398952 454362 598428 605816 681543 797904 908724 1196856 1211632 1363086 1817448 2044629 2393712 2726172 3634896 4089258 5452344 6133887 8178516 10904688 12267774 16357032 24535548 32714064 49071096 98142192