Search a number
-
+
97999902 = 23373111337
BaseRepresentation
bin1011101011101…
…01110000011110
320211101220121000
411311311300132
5200041444102
613420251130
72266662000
oct565656036
9224356530
1097999902
1150355860
12289a0aa6
13173c3310
14d030370
15890c01c
hex5d75c1e

97999902 has 256 divisors, whose sum is σ = 306432000. Its totient is φ = 22861440.

The previous prime is 97999879. The next prime is 97999919. The reversal of 97999902 is 20999979.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2648628 + ... + 2648664.

It is an arithmetic number, because the mean of its divisors is an integer number (1197000).

Almost surely, 297999902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97999902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153216000).

97999902 is an abundant number, since it is smaller than the sum of its proper divisors (208432098).

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

97999902 is a wasteful number, since it uses less digits than its factorization.

97999902 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 826686, while the sum is 54.

The square root of 97999902 is about 9899.4899868630. The cubic root of 97999902 is about 461.0434755246.

It can be divided in two parts, 9799 and 9902, that added together give a triangular number (19701 = T198).

The spelling of 97999902 in words is "ninety-seven million, nine hundred ninety-nine thousand, nine hundred two".