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12453948 = 22321322389
BaseRepresentation
bin101111100000…
…100000111100
3212102201121100
4233200200330
511142011243
61122533100
7210566613
oct57404074
925381540
1012453948
117036921
124207190
132770800
14192287a
1511600d3
hexbe083c

12453948 has 108 divisors (see below), whose sum is σ = 35970480. Its totient is φ = 3624192.

The previous prime is 12453929. The next prime is 12453967. The reversal of 12453948 is 84935421.

It is an interprime number because it is at equal distance from previous prime (12453929) and next prime (12453967).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 139888 + ... + 139976.

It is an arithmetic number, because the mean of its divisors is an integer number (333060).

Almost surely, 212453948 is an apocalyptic number.

12453948 is a gapful number since it is divisible by the number (18) 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 12453948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17985240).

12453948 is an abundant number, since it is smaller than the sum of its proper divisors (23516532).

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

12453948 is a wasteful number, since it uses less digits than its factorization.

12453948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 130 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 12453948 is about 3529.0151600694. The cubic root of 12453948 is about 231.7940850281.

The spelling of 12453948 in words is "twelve million, four hundred fifty-three thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 89 92 117 138 156 169 178 207 234 267 276 299 338 356 414 468 507 534 598 676 801 828 897 1014 1068 1157 1196 1521 1602 1794 2028 2047 2314 2691 3042 3204 3471 3588 3887 4094 4628 5382 6084 6141 6942 7774 8188 10413 10764 11661 12282 13884 15041 15548 18423 20826 23322 24564 26611 30082 34983 36846 41652 45123 46644 53222 60164 69966 73692 79833 90246 106444 135369 139932 159666 180492 239499 270738 319332 345943 478998 541476 691886 957996 1037829 1383772 2075658 3113487 4151316 6226974 12453948