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980028048 = 243311016521
BaseRepresentation
bin111010011010100…
…000101010010000
32112022002120202010
4322122200222100
54001341344143
6241125222520
733200046426
oct7232405220
92468076663
10980028048
1146322263a
12234261a40
1312806676c
149422d116
155b088a33
hex3a6a0a90

980028048 has 80 divisors (see below), whose sum is σ = 2639688192. Its totient is φ = 312960000.

The previous prime is 980028041. The next prime is 980028073. The reversal of 980028048 is 840820089.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 980027997 and 980028015.

It is not an unprimeable number, because it can be changed into a prime (980028041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147028 + ... + 153548.

Almost surely, 2980028048 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 980028048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319844096).

980028048 is an abundant number, since it is smaller than the sum of its proper divisors (1659660144).

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

980028048 is a wasteful number, since it uses less digits than its factorization.

980028048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6664 (or 6658 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 980028048 is about 31305.3996620391. The cubic root of 980028048 is about 993.2978643952.

The spelling of 980028048 in words is "nine hundred eighty million, twenty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 101 124 186 202 248 303 372 404 496 606 744 808 1212 1488 1616 2424 3131 4848 6262 6521 9393 12524 13042 18786 19563 25048 26084 37572 39126 50096 52168 75144 78252 104336 150288 156504 202151 313008 404302 606453 658621 808604 1212906 1317242 1617208 1975863 2425812 2634484 3234416 3951726 4851624 5268968 7903452 9703248 10537936 15806904 20417251 31613808 40834502 61251753 81669004 122503506 163338008 245007012 326676016 490014024 980028048