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375696480 = 25351276163
BaseRepresentation
bin10110011001001…
…010110001100000
3222011221100200110
4112121022301200
51232134241410
6101140251320
712211240005
oct2631126140
9864840613
10375696480
11183086365
12a59a0b40
135cab2413
1437c798ac
1522eb2720
hex1664ac60

375696480 has 96 divisors (see below), whose sum is σ = 1192955904. Its totient is φ = 99380736.

The previous prime is 375696473. The next prime is 375696487. The reversal of 375696480 is 84696573.

375696480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (375696473) and next prime (375696487).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3756964802 = 282295690168780800, which contains 22 as substring.

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 (375696487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57879 + ... + 64041.

It is an arithmetic number, because the mean of its divisors is an integer number (12426624).

Almost surely, 2375696480 is an apocalyptic number.

375696480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 375696480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596477952).

375696480 is an abundant number, since it is smaller than the sum of its proper divisors (817259424).

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

375696480 is a wasteful number, since it uses less digits than its factorization.

375696480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6308 (or 6300 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 375696480 is about 19382.8914251718. The cubic root of 375696480 is about 721.5709525953.

The spelling of 375696480 in words is "three hundred seventy-five million, six hundred ninety-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 127 160 240 254 381 480 508 635 762 1016 1270 1524 1905 2032 2540 3048 3810 4064 5080 6096 6163 7620 10160 12192 12326 15240 18489 20320 24652 30480 30815 36978 49304 60960 61630 73956 92445 98608 123260 147912 184890 197216 246520 295824 369780 493040 591648 739560 782701 986080 1479120 1565402 2348103 2958240 3130804 3913505 4696206 6261608 7827010 9392412 11740515 12523216 15654020 18784824 23481030 25046432 31308040 37569648 46962060 62616080 75139296 93924120 125232160 187848240 375696480