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1379350752 = 253131958171
BaseRepresentation
bin101001000110111…
…0011100011100000
310120010111021111220
41102031303203200
510311103211002
6344512135040
746116200523
oct12215634340
93503437456
101379350752
116486756aa
12325b37480
1318c9cb9a0
14d1298bba
15811667bc
hex523738e0

1379350752 has 96 divisors (see below), whose sum is σ = 4104616320. Its totient is φ = 402071040.

The previous prime is 1379350729. The next prime is 1379350757. The reversal of 1379350752 is 2570539731.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1379350757) 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, 5374 + ... + 52797.

It is an arithmetic number, because the mean of its divisors is an integer number (42756420).

Almost surely, 21379350752 is an apocalyptic number.

1379350752 is a gapful number since it is divisible by the number (12) 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 1379350752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052308160).

1379350752 is an abundant number, since it is smaller than the sum of its proper divisors (2725265568).

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

1379350752 is a wasteful number, since it uses less digits than its factorization.

1379350752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58216 (or 58208 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 42.

The square root of 1379350752 is about 37139.6116296334. The cubic root of 1379350752 is about 1113.1616571875.

The spelling of 1379350752 in words is "one billion, three hundred seventy-nine million, three hundred fifty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 208 228 247 304 312 416 456 494 608 624 741 912 988 1248 1482 1824 1976 2964 3952 5928 7904 11856 23712 58171 116342 174513 232684 349026 465368 698052 756223 930736 1105249 1396104 1512446 1861472 2210498 2268669 2792208 3024892 3315747 4420996 4537338 5584416 6049784 6631494 8841992 9074676 12099568 13262988 14368237 17683984 18149352 24199136 26525976 28736474 35367968 36298704 43104711 53051952 57472948 72597408 86209422 106103904 114945896 172418844 229891792 344837688 459783584 689675376 1379350752