Search a number
-
+
98152032 = 25311412267
BaseRepresentation
bin1011101100110…
…10111001100000
320211200122021110
411312122321200
5200111331112
613423423320
72301164346
oct566327140
9224618243
1098152032
115044a090
1228a54b40
1317447634
14d06d996
15893c13c
hex5d9ae60

98152032 has 96 divisors (see below), whose sum is σ = 288054144. Its totient is φ = 29004800.

The previous prime is 98152031. The next prime is 98152123. The reversal of 98152032 is 23025189.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98152031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42163 + ... + 44429.

It is an arithmetic number, because the mean of its divisors is an integer number (3000564).

Almost surely, 298152032 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 98152032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144027072).

98152032 is an abundant number, since it is smaller than the sum of its proper divisors (189902112).

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

98152032 is a wasteful number, since it uses less digits than its factorization.

98152032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 98152032 is about 9907.1707363909. The cubic root of 98152032 is about 461.2819188992.

The spelling of 98152032 in words is "ninety-eight million, one hundred fifty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 66 82 88 96 123 132 164 176 246 264 328 352 451 492 528 656 902 984 1056 1312 1353 1804 1968 2267 2706 3608 3936 4534 5412 6801 7216 9068 10824 13602 14432 18136 21648 24937 27204 36272 43296 49874 54408 72544 74811 92947 99748 108816 149622 185894 199496 217632 278841 299244 371788 398992 557682 598488 743576 797984 1022417 1115364 1196976 1487152 2044834 2230728 2393952 2974304 3067251 4089668 4461456 6134502 8179336 8922912 12269004 16358672 24538008 32717344 49076016 98152032