Search a number
-
+
998923840 = 2653738369
BaseRepresentation
bin111011100010100…
…101111001000000
32120121122120220021
4323202211321000
54021211030330
6243042223224
733516466255
oct7342457100
92517576807
10998923840
114729592a2
1223a654b14
1312bc513c5
149694b42c
155ca6c67a
hex3b8a5e40

998923840 has 56 divisors (see below), whose sum is σ = 2385349560. Its totient is φ = 398450688.

The previous prime is 998923831. The next prime is 998923847. The reversal of 998923840 is 48329899.

It can be written as a sum of positive squares in 4 ways, for example, as 196448256 + 802475584 = 14016^2 + 28328^2 .

It is not an unprimeable number, because it can be changed into a prime (998923847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115176 + ... + 123544.

Almost surely, 2998923840 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 998923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192674780).

998923840 is an abundant number, since it is smaller than the sum of its proper divisors (1386425720).

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

998923840 is a wasteful number, since it uses less digits than its factorization.

998923840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8759 (or 8749 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 52.

The square root of 998923840 is about 31605.7564377124. The cubic root of 998923840 is about 999.6411512430.

The spelling of 998923840 in words is "nine hundred ninety-eight million, nine hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 373 746 1492 1865 2984 3730 5968 7460 8369 11936 14920 16738 23872 29840 33476 41845 59680 66952 83690 119360 133904 167380 267808 334760 535616 669520 1339040 2678080 3121637 6243274 12486548 15608185 24973096 31216370 49946192 62432740 99892384 124865480 199784768 249730960 499461920 998923840