Search a number
-
+
99256704 = 273534877
BaseRepresentation
bin1011110101010…
…00100110000000
320220202202121020
411322220212000
5200402203304
613503225440
72313445101
oct572504600
9226682536
1099256704
1151034038
12292a8280
13177433a1
14d27a3a8
158aa95d9
hex5ea8980

99256704 has 64 divisors (see below), whose sum is σ = 268680240. Its totient is φ = 32454656.

The previous prime is 99256697. The next prime is 99256711. The reversal of 99256704 is 40765299.

It is an interprime number because it is at equal distance from previous prime (99256697) and next prime (99256711).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17914 + ... + 22790.

Almost surely, 299256704 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 99256704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134340120).

99256704 is an abundant number, since it is smaller than the sum of its proper divisors (169423536).

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

99256704 is a wasteful number, since it uses less digits than its factorization.

99256704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4947 (or 4935 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 99256704 is about 9962.7658810192. The cubic root of 99256704 is about 463.0059973691.

The spelling of 99256704 in words is "ninety-nine million, two hundred fifty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 318 384 424 636 848 1272 1696 2544 3392 4877 5088 6784 9754 10176 14631 19508 20352 29262 39016 58524 78032 117048 156064 234096 258481 312128 468192 516962 624256 775443 936384 1033924 1550886 1872768 2067848 3101772 4135696 6203544 8271392 12407088 16542784 24814176 33085568 49628352 99256704