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404295552 = 27323111321
BaseRepresentation
bin11000000110010…
…000111110000000
31001011202100020100
4120012100332000
51311444424202
6104041242400
713006312143
oct3006207600
91034670210
10404295552
1119823a261
12b3493400
13659b684b
143b9a205a
152576141c
hex18190f80

404295552 has 96 divisors (see below), whose sum is σ = 1201037760. Its totient is φ = 130406400.

The previous prime is 404295523. The next prime is 404295569. The reversal of 404295552 is 255592404.

It is a tau number, because it is divible by the number of its divisors (96).

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30052 + ... + 41372.

It is an arithmetic number, because the mean of its divisors is an integer number (12510810).

Almost surely, 2404295552 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 404295552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600518880).

404295552 is an abundant number, since it is smaller than the sum of its proper divisors (796742208).

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

404295552 is a wasteful number, since it uses less digits than its factorization.

404295552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11372 (or 11357 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 404295552 is about 20107.1020288852. The cubic root of 404295552 is about 739.4344058986.

The spelling of 404295552 in words is "four hundred four million, two hundred ninety-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 279 288 372 384 496 558 576 744 992 1116 1152 1488 1984 2232 2976 3968 4464 5952 8928 11321 11904 17856 22642 33963 35712 45284 67926 90568 101889 135852 181136 203778 271704 350951 362272 407556 543408 701902 724544 815112 1052853 1086816 1403804 1449088 1630224 2105706 2173632 2807608 3158559 3260448 4211412 4347264 5615216 6317118 6520896 8422824 11230432 12634236 13041792 16845648 22460864 25268472 33691296 44921728 50536944 67382592 101073888 134765184 202147776 404295552