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421156125 = 33531329331
BaseRepresentation
bin11001000110100…
…101010100011101
31002100110221121000
4121012211110131
51330303444000
6105442500513
713302524265
oct3106452435
91070427530
10421156125
111a6805915
12b9064739
136933b010
143dd107a5
1526e92000
hex191a551d

421156125 has 128 divisors (see below), whose sum is σ = 870105600. Its totient is φ = 199584000.

The previous prime is 421156123. The next prime is 421156157. The reversal of 421156125 is 521651124.

421156125 is a `hidden beast` number, since 42 + 1 + 1 + 5 + 612 + 5 = 666.

It is not a de Polignac number, because 421156125 - 21 = 421156123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421156123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1272210 + ... + 1272540.

It is an arithmetic number, because the mean of its divisors is an integer number (6797700).

Almost surely, 2421156125 is an apocalyptic number.

421156125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

421156125 is an abundant number, since it is smaller than the sum of its proper divisors (448949475).

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

421156125 is a wasteful number, since it uses less digits than its factorization.

421156125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 381 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 421156125 is about 20522.0887094857. The cubic root of 421156125 is about 749.5737578027.

The spelling of 421156125 in words is "four hundred twenty-one million, one hundred fifty-six thousand, one hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 29 39 45 65 75 87 117 125 135 145 195 225 261 325 331 351 375 377 435 585 675 725 783 975 993 1125 1131 1305 1625 1655 1755 1885 2175 2925 2979 3375 3393 3625 3915 4303 4875 4965 5655 6525 8275 8775 8937 9425 9599 10179 10875 12909 14625 14895 16965 19575 21515 24825 28275 28797 32625 38727 41375 43875 44685 47125 47995 50895 64545 74475 84825 86391 97875 107575 116181 124125 124787 141375 143985 193635 223425 239975 254475 259173 322725 372375 374361 424125 431955 537875 580905 623935 719925 968175 1117125 1123083 1199875 1272375 1295865 1613625 1871805 2159775 2904525 3119675 3369249 3599625 4840875 5615415 6479325 9359025 10798875 14522625 15598375 16846245 28077075 32396625 46795125 84231225 140385375 421156125