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11238948 = 22327103433
BaseRepresentation
bin101010110111…
…111000100100
3210010222221100
4222313320210
510334121243
61040520100
7164346420
oct52677044
923128840
1011238948
116386a96
123920030
132436786
1416c7b80
15ec00d3
hexab7e24

11238948 has 72 divisors (see below), whose sum is σ = 32859008. Its totient is φ = 3172608.

The previous prime is 11238943. The next prime is 11238949. The reversal of 11238948 is 84983211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11238943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25740 + ... + 26172.

Almost surely, 211238948 is an apocalyptic number.

11238948 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 11238948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16429504).

11238948 is an abundant number, since it is smaller than the sum of its proper divisors (21620060).

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

11238948 is a wasteful number, since it uses less digits than its factorization.

11238948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 548 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 11238948 is about 3352.4540265304. The cubic root of 11238948 is about 223.9968377530.

It can be divided in two parts, 112 and 38948, that added together give a triangular number (39060 = T279).

The spelling of 11238948 in words is "eleven million, two hundred thirty-eight thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 103 126 206 252 309 412 433 618 721 866 927 1236 1299 1442 1732 1854 2163 2598 2884 3031 3708 3897 4326 5196 6062 6489 7794 8652 9093 12124 12978 15588 18186 25956 27279 36372 44599 54558 89198 109116 133797 178396 267594 312193 401391 535188 624386 802782 936579 1248772 1605564 1873158 2809737 3746316 5619474 11238948