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921390496 = 25134215261
BaseRepresentation
bin110110111010110…
…100110110100000
32101012202111010221
4312322310312200
53341333443441
6231232332424
731555455445
oct6672646640
92335674127
10921390496
11433112354
122186a4114
13118b759a0
148a5279cc
1555d548d1
hex36eb4da0

921390496 has 48 divisors (see below), whose sum is σ = 1958537448. Its totient is φ = 424166400.

The previous prime is 921390443. The next prime is 921390559. The reversal of 921390496 is 694093129.

It can be written as a sum of positive squares in 4 ways, for example, as 430147600 + 491242896 = 20740^2 + 22164^2 .

It is a super-2 number, since 2×9213904962 = 1697920892238252032, which contains 22 as substring.

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, 172506 + ... + 177766.

Almost surely, 2921390496 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 921390496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979268724).

921390496 is an abundant number, since it is smaller than the sum of its proper divisors (1037146952).

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

921390496 is a wasteful number, since it uses less digits than its factorization.

921390496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5705 (or 5697 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 43.

The square root of 921390496 is about 30354.4147695191. The cubic root of 921390496 is about 973.0785726357.

The spelling of 921390496 in words is "nine hundred twenty-one million, three hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 421 842 1684 3368 5261 5473 6736 10522 10946 13472 21044 21892 42088 43784 68393 84176 87568 136786 168352 175136 273572 547144 1094288 2188576 2214881 4429762 8859524 17719048 28793453 35438096 57586906 70876192 115173812 230347624 460695248 921390496