Search a number
-
+
98731152 = 24321324057
BaseRepresentation
bin1011110001010…
…00010010010000
320212210001200100
411320220102100
5200233344102
613444052400
72306125632
oct570502220
9225701610
1098731152
11508051a3
1229094100
13175bb100
14d180a52
158a03a1c
hex5e28490

98731152 has 90 divisors (see below), whose sum is σ = 299273442. Its totient is φ = 30371328.

The previous prime is 98731117. The next prime is 98731181. The reversal of 98731152 is 25113789.

It can be written as a sum of positive squares in 3 ways, for example, as 7056 + 98724096 = 84^2 + 9936^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22308 + ... + 26364.

Almost surely, 298731152 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 98731152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149636721).

98731152 is an abundant number, since it is smaller than the sum of its proper divisors (200542290).

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

98731152 is a wasteful number, since it uses less digits than its factorization.

98731152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4097 (or 4075 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 98731152 is about 9936.3550661196. The cubic root of 98731152 is about 462.1873642694.

It can be divided in two parts, 9873 and 1152, that added together give a square (11025 = 1052).

The spelling of 98731152 in words is "ninety-eight million, seven hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 3042 4056 4057 6084 8112 8114 12168 12171 16228 24336 24342 32456 36513 48684 52741 64912 73026 97368 105482 146052 158223 194736 210964 292104 316446 421928 474669 584208 632892 685633 843856 949338 1265784 1371266 1898676 2056899 2531568 2742532 3797352 4113798 5485064 6170697 7594704 8227596 10970128 12341394 16455192 24682788 32910384 49365576 98731152