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112424952 = 23341611873
BaseRepresentation
bin1101011001101…
…11011111111000
321211112210001010
412230313133320
5212240044302
615053353520
72533411353
oct654673770
9254483033
10112424952
1158508592
12317988a0
131a3a4053
1410d0729a
159d0b16c
hex6b377f8

112424952 has 64 divisors (see below), whose sum is σ = 292793760. Its totient is φ = 35942400.

The previous prime is 112424951. The next prime is 112424953. The reversal of 112424952 is 259424211.

It is an interprime number because it is at equal distance from previous prime (112424951) and next prime (112424953).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112424951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59088 + ... + 60960.

Almost surely, 2112424952 is an apocalyptic number.

112424952 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 112424952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146396880).

112424952 is an abundant number, since it is smaller than the sum of its proper divisors (180368808).

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

112424952 is a wasteful number, since it uses less digits than its factorization.

112424952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1980 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 112424952 is about 10603.0633309436. The cubic root of 112424952 is about 482.6373231689.

The spelling of 112424952 in words is "one hundred twelve million, four hundred twenty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 41 61 82 122 123 164 183 244 246 328 366 488 492 732 984 1464 1873 2501 3746 5002 5619 7492 7503 10004 11238 14984 15006 20008 22476 30012 44952 60024 76793 114253 153586 228506 230379 307172 342759 457012 460758 614344 685518 914024 921516 1371036 1843032 2742072 4684373 9368746 14053119 18737492 28106238 37474984 56212476 112424952