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981370624 = 28132312821
BaseRepresentation
bin111010011111101…
…000011100000000
32112101121210102011
4322133220130000
54002212324444
6241214102304
733214340563
oct7237503400
92471553364
10981370624
11463a5a303
122347aa994
131284168a0
149449c4da
155b251734
hex3a7e8700

981370624 has 72 divisors (see below), whose sum is σ = 2201486112. Its totient is φ = 433213440.

The previous prime is 981370613. The next prime is 981370651. The reversal of 981370624 is 426073189.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70134 + ... + 82954.

It is an arithmetic number, because the mean of its divisors is an integer number (30576196).

Almost surely, 2981370624 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 981370624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100743056).

981370624 is an abundant number, since it is smaller than the sum of its proper divisors (1220115488).

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

981370624 is a wasteful number, since it uses less digits than its factorization.

981370624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12873 (or 12859 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 981370624 is about 31326.8355248340. The cubic root of 981370624 is about 993.7512423596.

The spelling of 981370624 in words is "nine hundred eighty-one million, three hundred seventy thousand, six hundred twenty-four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 256 299 368 416 598 736 832 1196 1472 1664 2392 2944 3328 4784 5888 9568 12821 19136 25642 38272 51284 76544 102568 166673 205136 294883 333346 410272 589766 666692 820544 1179532 1333384 1641088 2359064 2666768 3282176 3833479 4718128 5333536 7666958 9436256 10667072 15333916 18872512 21334144 30667832 37745024 42668288 61335664 75490048 122671328 245342656 490685312 981370624