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1358146048 = 2971722291
BaseRepresentation
bin101000011110011…
…1010101000000000
310111122120222010111
41100330322220000
510240141133143
6342433441104
745441023320
oct12074725000
93448528114
101358146048
11637702256
1231aa10194
131884b611c
14cc539280
157e37899d
hex50f3aa00

1358146048 has 80 divisors (see below), whose sum is σ = 3283879104. Its totient is φ = 547799040.

The previous prime is 1358146003. The next prime is 1358146057. The reversal of 1358146048 is 8406418531.

It is a self number, because there is not a number n which added to its sum of digits gives 1358146048.

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, 49783 + ... + 72073.

Almost surely, 21358146048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1358146048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641939552).

1358146048 is an abundant number, since it is smaller than the sum of its proper divisors (1925733056).

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

1358146048 is an equidigital number, since it uses as much as digits as its factorization.

1358146048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22333 (or 22317 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 1358146048 is about 36853.0330909140. The cubic root of 1358146048 is about 1107.4279782701.

The spelling of 1358146048 in words is "one billion, three hundred fifty-eight million, one hundred forty-six thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 512 544 896 952 1088 1792 1904 2176 3584 3808 4352 7616 8704 15232 22291 30464 44582 60928 89164 156037 178328 312074 356656 378947 624148 713312 757894 1248296 1426624 1515788 2496592 2652629 2853248 3031576 4993184 5305258 5706496 6063152 9986368 10610516 11412992 12126304 19972736 21221032 24252608 39945472 42442064 48505216 79890944 84884128 97010432 169768256 194020864 339536512 679073024 1358146048