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10481472 = 263231587
BaseRepresentation
bin100111111110…
…111101000000
3201201111212200
4213332331000
510140401342
61012353200
7155043141
oct47767500
921644780
1010481472
115a09981
123615800
13222ca71
14156bac8
15dc094c
hex9fef40

10481472 has 84 divisors (see below), whose sum is σ = 31065216. Its totient is φ = 3375360.

The previous prime is 10481453. The next prime is 10481473. The reversal of 10481472 is 27418401.

It is a super-2 number, since 2×104814722 = 219722510573568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10481473) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17563 + ... + 18149.

It is an arithmetic number, because the mean of its divisors is an integer number (369824).

Almost surely, 210481472 is an apocalyptic number.

10481472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10481472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15532608).

10481472 is an abundant number, since it is smaller than the sum of its proper divisors (20583744).

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

10481472 is a wasteful number, since it uses less digits than its factorization.

10481472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 10481472 is about 3237.5101544242. The cubic root of 10481472 is about 218.8470815889.

Adding to 10481472 its reverse (27418401), we get a palindrome (37899873).

The spelling of 10481472 in words is "ten million, four hundred eighty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 587 744 992 1116 1174 1488 1761 1984 2232 2348 2976 3522 4464 4696 5283 5952 7044 8928 9392 10566 14088 17856 18197 18784 21132 28176 36394 37568 42264 54591 56352 72788 84528 109182 112704 145576 163773 169056 218364 291152 327546 338112 436728 582304 655092 873456 1164608 1310184 1746912 2620368 3493824 5240736 10481472