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11438952 = 2337271137
BaseRepresentation
bin101011101000…
…101101101000
3210112011021220
4223220231220
510412021302
61045102040
7166141500
oct53505550
923464256
1011438952
116503288
1239b7920
1324a6815
14173aa00
15100e4bc
hexae8b68

11438952 has 96 divisors (see below), whose sum is σ = 33981120. Its totient is φ = 3198720.

The previous prime is 11438951. The next prime is 11438953. The reversal of 11438952 is 25983411.

11438952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11438951) and next prime (11438953).

It is not an unprimeable number, because it can be changed into a prime (11438951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83428 + ... + 83564.

It is an arithmetic number, because the mean of its divisors is an integer number (353970).

Almost surely, 211438952 is an apocalyptic number.

11438952 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 11438952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16990560).

11438952 is an abundant number, since it is smaller than the sum of its proper divisors (22542168).

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

11438952 is a wasteful number, since it uses less digits than its factorization.

11438952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 220 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 11438952 is about 3382.1519776616. The cubic root of 11438952 is about 225.3177535144.

The spelling of 11438952 in words is "eleven million, four hundred thirty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 71 84 98 137 142 147 168 196 213 274 284 294 392 411 426 497 548 568 588 822 852 959 994 1096 1176 1491 1644 1704 1918 1988 2877 2982 3288 3479 3836 3976 5754 5964 6713 6958 7672 9727 10437 11508 11928 13426 13916 19454 20139 20874 23016 26852 27832 29181 38908 40278 41748 53704 58362 68089 77816 80556 83496 116724 136178 161112 204267 233448 272356 408534 476623 544712 817068 953246 1429869 1634136 1906492 2859738 3812984 5719476 11438952