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424125408 = 2537631139
BaseRepresentation
bin11001010001111…
…010001111100000
31002120001210200110
4121101322033200
51332034003113
6110030251320
713340002140
oct3121721740
91076053613
10424125408
111a8453773
12ba056b40
1369b3a6a5
1440484920
152737bbc3
hex1947a3e0

424125408 has 48 divisors (see below), whose sum is σ = 1272378240. Its totient is φ = 121178496.

The previous prime is 424125379. The next prime is 424125409. The reversal of 424125408 is 804521424.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4241254082 = 359764723422332928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424125409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 314898 + ... + 316241.

It is an arithmetic number, because the mean of its divisors is an integer number (26507880).

Almost surely, 2424125408 is an apocalyptic number.

424125408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

424125408 is an abundant number, since it is smaller than the sum of its proper divisors (848252832).

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

424125408 is a wasteful number, since it uses less digits than its factorization.

424125408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631159 (or 631151 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 424125408 is about 20594.3052322723. The cubic root of 424125408 is about 751.3312108833.

The spelling of 424125408 in words is "four hundred twenty-four million, one hundred twenty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 631139 1262278 1893417 2524556 3786834 4417973 5049112 7573668 8835946 10098224 13253919 15147336 17671892 20196448 26507838 30294672 35343784 53015676 60589344 70687568 106031352 141375136 212062704 424125408