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400514048 = 2101131237
BaseRepresentation
bin10111110111110…
…101110000000000
31000220122012222122
4113313311300000
51310012422143
6103424223412
712632212304
oct2767656000
91026565878
10400514048
11196097150
12b216ab68
1364c9157c
143b299d04
1525265c68
hex17df5c00

400514048 has 132 divisors (see below), whose sum is σ = 926897976. Its totient is φ = 171417600.

The previous prime is 400514047. The next prime is 400514063. The reversal of 400514048 is 840415004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400514047) 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, 10824686 + ... + 10824722.

Almost surely, 2400514048 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 400514048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463448988).

400514048 is an abundant number, since it is smaller than the sum of its proper divisors (526383928).

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

400514048 is a wasteful number, since it uses less digits than its factorization.

400514048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 400514048 is about 20012.8470738174. The cubic root of 400514048 is about 737.1217927885.

The spelling of 400514048 in words is "four hundred million, five hundred fourteen thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 31 32 37 44 62 64 74 88 124 128 148 176 248 256 296 341 352 407 496 512 592 682 704 814 961 992 1024 1147 1184 1364 1408 1628 1922 1984 2294 2368 2728 2816 3256 3844 3968 4588 4736 5456 5632 6512 7688 7936 9176 9472 10571 10912 11264 12617 13024 15376 15872 18352 18944 21142 21824 25234 26048 30752 31744 35557 36704 37888 42284 43648 50468 52096 61504 71114 73408 84568 87296 100936 104192 123008 142228 146816 169136 174592 201872 208384 246016 284456 293632 338272 349184 391127 403744 416768 492032 568912 587264 676544 782254 807488 984064 1137824 1174528 1353088 1564508 1614976 2275648 2706176 3129016 3229952 4551296 5412352 6258032 6459904 9102592 10824704 12516064 12919808 18205184 25032128 36410368 50064256 100128512 200257024 400514048