Search a number
-
+
5857505760 = 253512203137
BaseRepresentation
bin1010111010010001…
…00111000111100000
3120010012221010022210
411131020213013200
543444010141020
62405122402120
7265103656161
oct53510470740
916105833283
105857505760
112536455857
121175800340
137246c7352
143d7d19768
1524438c3e0
hex15d2271e0

5857505760 has 48 divisors (see below), whose sum is σ = 18451144656. Its totient is φ = 1562001408.

The previous prime is 5857505743. The next prime is 5857505767. The reversal of 5857505760 is 675057585.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5857505767) 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, 6101089 + ... + 6102048.

It is an arithmetic number, because the mean of its divisors is an integer number (384398847).

Almost surely, 25857505760 is an apocalyptic number.

It is an amenable number.

5857505760 is an abundant number, since it is smaller than the sum of its proper divisors (12593638896).

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

5857505760 is a wasteful number, since it uses less digits than its factorization.

5857505760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12203155 (or 12203147 counting only the distinct ones).

The product of its (nonzero) digits is 1470000, while the sum is 48.

The square root of 5857505760 is about 76534.3436634822. The cubic root of 5857505760 is about 1802.6202332972.

The spelling of 5857505760 in words is "five billion, eight hundred fifty-seven million, five hundred five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 12203137 24406274 36609411 48812548 61015685 73218822 97625096 122031370 146437644 183047055 195250192 244062740 292875288 366094110 390500384 488125480 585750576 732188220 976250960 1171501152 1464376440 1952501920 2928752880 5857505760