Search a number
-
+
98168772 = 223132392633
BaseRepresentation
bin1011101100111…
…10111111000100
320211201111020110
411312132333010
5200112400042
613424033020
72301264222
oct566367704
9224644213
1098168772
1150460719
1228a62770
1317452140
14d075b12
15894209c
hex5d9efc4

98168772 has 48 divisors (see below), whose sum is σ = 247806720. Its totient is φ = 30067968.

The previous prime is 98168737. The next prime is 98168809. The reversal of 98168772 is 27786189.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35968 + ... + 38600.

It is an arithmetic number, because the mean of its divisors is an integer number (5162640).

Almost surely, 298168772 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 98168772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123903360).

98168772 is an abundant number, since it is smaller than the sum of its proper divisors (149637948).

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

98168772 is a wasteful number, since it uses less digits than its factorization.

98168772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892 (or 2890 counting only the distinct ones).

The product of its digits is 338688, while the sum is 48.

The square root of 98168772 is about 9908.0155429834. The cubic root of 98168772 is about 461.3081415534.

The spelling of 98168772 in words is "ninety-eight million, one hundred sixty-eight thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 239 478 717 956 1434 2633 2868 3107 5266 6214 7899 9321 10532 12428 15798 18642 31596 34229 37284 68458 102687 136916 205374 410748 629287 1258574 1887861 2517148 3775722 7551444 8180731 16361462 24542193 32722924 49084386 98168772