Search a number
-
+
9929034400 = 255212411293
BaseRepresentation
bin10010011111101000…
…10000101010100000
3221121222020012121211
421033310100222200
5130313313100100
64321125355504
7501023254105
oct111764205240
927558205554
109929034400
11423575455a
121b11268b94
13c230a12ac
146a296caac
153d1a411ba
hex24fd10aa0

9929034400 has 36 divisors (see below), whose sum is σ = 24239257182. Its totient is φ = 3971613440.

The previous prime is 9929034391. The next prime is 9929034419. The reversal of 9929034400 is 44309299.

It can be written as a sum of positive squares in 3 ways, for example, as 9556235536 + 372798864 = 97756^2 + 19308^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6204847 + ... + 6206446.

Almost surely, 29929034400 is an apocalyptic number.

It is an amenable number.

9929034400 is an abundant number, since it is smaller than the sum of its proper divisors (14310222782).

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

9929034400 is a wasteful number, since it uses less digits than its factorization.

9929034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12411313 (or 12411300 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 9929034400 is about 99644.5402418015. The cubic root of 9929034400 is about 2149.3262283909.

The spelling of 9929034400 in words is "nine billion, nine hundred twenty-nine million, thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 12411293 24822586 49645172 62056465 99290344 124112930 198580688 248225860 310282325 397161376 496451720 620564650 992903440 1241129300 1985806880 2482258600 4964517200 9929034400