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400553004 = 223232575647
BaseRepresentation
bin10111110111111…
…111010000101100
31000220201012102110
4113313333100230
51310020144004
6103425124020
712632434005
oct2767772054
91026635373
10400553004
11196113445
12b2189610
1364ca6217
143b2aa1ac
1525272589
hex17dff42c

400553004 has 48 divisors (see below), whose sum is σ = 979227648. Its totient is φ = 127193088.

The previous prime is 400552993. The next prime is 400553011. The reversal of 400553004 is 400355004.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68109 + ... + 73755.

It is an arithmetic number, because the mean of its divisors is an integer number (20400576).

Almost surely, 2400553004 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 400553004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489613824).

400553004 is an abundant number, since it is smaller than the sum of its proper divisors (578674644).

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

400553004 is a wasteful number, since it uses less digits than its factorization.

400553004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5934 (or 5932 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 400553004 is about 20013.8203249654. The cubic root of 400553004 is about 737.1456907314.

The spelling of 400553004 in words is "four hundred million, five hundred fifty-three thousand, four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 257 276 514 771 1028 1542 3084 5647 5911 11294 11822 16941 17733 22588 23644 33882 35466 67764 70932 129881 259762 389643 519524 779286 1451279 1558572 2902558 4353837 5805116 8707674 17415348 33379417 66758834 100138251 133517668 200276502 400553004