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98493948 = 22337196857
BaseRepresentation
bin1011101111011…
…10010111111100
320212100000022000
411313232113330
5200203301243
613435022300
72304120240
oct567562774
9225300260
1098493948
1150662a63
1228b9a990
1317537157
14d11c420
1589a85d3
hex5dee5fc

98493948 has 96 divisors (see below), whose sum is σ = 307238400. Its totient is φ = 26656128.

The previous prime is 98493907. The next prime is 98493959. The reversal of 98493948 is 84939489.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 98493894 and 98493903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10936 + ... + 17792.

It is an arithmetic number, because the mean of its divisors is an integer number (3200400).

Almost surely, 298493948 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 98493948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153619200).

98493948 is an abundant number, since it is smaller than the sum of its proper divisors (208744452).

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

98493948 is a wasteful number, since it uses less digits than its factorization.

98493948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6896 (or 6888 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 98493948 is about 9924.4117206009. The cubic root of 98493948 is about 461.8169286467.

The spelling of 98493948 in words is "ninety-eight million, four hundred ninety-three thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 84 108 114 126 133 171 189 228 252 266 342 378 399 513 532 684 756 798 1026 1197 1596 2052 2394 3591 4788 6857 7182 13714 14364 20571 27428 41142 47999 61713 82284 95998 123426 130283 143997 185139 191996 246852 260566 287994 370278 390849 431991 521132 575988 740556 781698 863982 911981 1172547 1295973 1563396 1727964 1823962 2345094 2591946 2735943 3517641 3647924 4690188 5183892 5471886 7035282 8207829 10943772 14070564 16415658 24623487 32831316 49246974 98493948