Search a number
-
+
98419048 = 2373133189
BaseRepresentation
bin1011101110111…
…00000101101000
320212012012112221
411313130011220
5200143402143
613433243424
72303356000
oct567340550
9225165487
1098419048
1150611762
1228b63574
131750c030
14d0dd000
1589912ed
hex5ddc168

98419048 has 128 divisors (see below), whose sum is σ = 241920000. Its totient is φ = 37255680.

The previous prime is 98419007. The next prime is 98419073. The reversal of 98419048 is 84091489.

It is a junction number, because it is equal to n+sod(n) for n = 98418995 and 98419013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1105788 + ... + 1105876.

It is an arithmetic number, because the mean of its divisors is an integer number (1890000).

Almost surely, 298419048 is an apocalyptic number.

98419048 is a gapful number since it is divisible by the number (98) 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 98419048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960000).

98419048 is an abundant number, since it is smaller than the sum of its proper divisors (143500952).

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

98419048 is a wasteful number, since it uses less digits than its factorization.

98419048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The square root of 98419048 is about 9920.6374795171. The cubic root of 98419048 is about 461.6998356326.

The spelling of 98419048 in words is "ninety-eight million, four hundred nineteen thousand, forty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 31 49 52 56 62 89 91 98 104 124 178 182 196 217 248 343 356 364 392 403 434 623 637 686 712 728 806 868 1157 1246 1274 1372 1519 1612 1736 2314 2492 2548 2744 2759 2821 3038 3224 4361 4459 4628 4984 5096 5518 5642 6076 8099 8722 8918 9256 10633 11036 11284 12152 16198 17444 17836 19313 19747 21266 22072 22568 30527 32396 34888 35672 35867 38626 39494 42532 56693 61054 64792 71734 77252 78988 85064 113386 122108 135191 138229 143468 154504 157976 226772 244216 251069 270382 276458 286936 396851 453544 502138 540764 552916 793702 946337 1004276 1081528 1105832 1587404 1757483 1892674 2008552 3174808 3514966 3785348 7029932 7570696 12302381 14059864 24604762 49209524 98419048