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98138952 = 2335192657
BaseRepresentation
bin1011101100101…
…11101101001000
320211122222100000
411312113231020
5200110421302
613423243000
72301111252
oct566275510
9224588300
1098138952
115044027a
1228a49460
13174416b2
14d068cd2
15893831c
hex5d97b48

98138952 has 96 divisors (see below), whose sum is σ = 290253600. Its totient is φ = 30979584.

The previous prime is 98138947. The next prime is 98138983. The reversal of 98138952 is 25983189.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 98138898 and 98138907.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35608 + ... + 38264.

It is an arithmetic number, because the mean of its divisors is an integer number (3023475).

Almost surely, 298138952 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 98138952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145126800).

98138952 is an abundant number, since it is smaller than the sum of its proper divisors (192114648).

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

98138952 is a wasteful number, since it uses less digits than its factorization.

98138952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697 (or 2681 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 98138952 is about 9906.5105864780. The cubic root of 98138952 is about 461.2614274385.

The spelling of 98138952 in words is "ninety-eight million, one hundred thirty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 243 324 342 456 486 513 648 684 972 1026 1368 1539 1944 2052 2657 3078 4104 4617 5314 6156 7971 9234 10628 12312 15942 18468 21256 23913 31884 36936 47826 50483 63768 71739 95652 100966 143478 151449 191304 201932 215217 286956 302898 403864 430434 454347 573912 605796 645651 860868 908694 1211592 1291302 1363041 1721736 1817388 2582604 2726082 3634776 4089123 5165208 5452164 8178246 10904328 12267369 16356492 24534738 32712984 49069476 98138952