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400550112 = 25323374127
BaseRepresentation
bin10111110111111…
…110100011100000
31000220201001110100
4113313332203200
51310020100422
6103425102400
712632422404
oct2767764340
91026631410
10400550112
11196111256
12b2187a00
1364ca4b01
143b2a9104
15252717ac
hex17dfe8e0

400550112 has 72 divisors (see below), whose sum is σ = 1142721216. Its totient is φ = 133088256.

The previous prime is 400550099. The next prime is 400550119. The reversal of 400550112 is 211055004.

400550112 is a `hidden beast` number, since 4 + 0 + 0 + 550 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400550119) 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, 94993 + ... + 99119.

It is an arithmetic number, because the mean of its divisors is an integer number (15871128).

Almost surely, 2400550112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400550112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571360608).

400550112 is an abundant number, since it is smaller than the sum of its proper divisors (742171104).

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

400550112 is a wasteful number, since it uses less digits than its factorization.

400550112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4480 (or 4469 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 400550112 is about 20013.7480747610. The cubic root of 400550112 is about 737.1439166587.

The spelling of 400550112 in words is "four hundred million, five hundred fifty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 337 674 1011 1348 2022 2696 3033 4044 4127 5392 6066 8088 8254 10784 12132 12381 16176 16508 24264 24762 32352 33016 37143 48528 49524 66032 74286 97056 99048 132064 148572 198096 297144 396192 594288 1188576 1390799 2781598 4172397 5563196 8344794 11126392 12517191 16689588 22252784 25034382 33379176 44505568 50068764 66758352 100137528 133516704 200275056 400550112