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610138464 = 25313488893
BaseRepresentation
bin100100010111011…
…111100101100000
31120112002020121220
4210113133211200
52222143412324
6140313215040
721056043225
oct4427374540
91515066556
10610138464
11293453071
12150401480
13995384a0
145b06594c
1538871b79
hex245df960

610138464 has 48 divisors (see below), whose sum is σ = 1724818032. Its totient is φ = 187734528.

The previous prime is 610138433. The next prime is 610138471. The reversal of 610138464 is 464831016.

610138464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243199 + ... + 245694.

It is an arithmetic number, because the mean of its divisors is an integer number (35933709).

Almost surely, 2610138464 is an apocalyptic number.

It is an amenable number.

610138464 is an abundant number, since it is smaller than the sum of its proper divisors (1114679568).

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

610138464 is a wasteful number, since it uses less digits than its factorization.

610138464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488919 (or 488911 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 610138464 is about 24700.9810331493. The cubic root of 610138464 is about 848.1567735542.

The spelling of 610138464 in words is "six hundred ten million, one hundred thirty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 488893 977786 1466679 1955572 2933358 3911144 5866716 6355609 7822288 11733432 12711218 15644576 19066827 23466864 25422436 38133654 46933728 50844872 76267308 101689744 152534616 203379488 305069232 610138464