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1896001376 = 25416721569
BaseRepresentation
bin111000100000010…
…1010111101100000
311220010122211221012
41301000222331200
512340334021001
6512045520052
764661513543
oct16100527540
94803584835
101896001376
11893274995
1244ab73028
13242a63809
1413db4685a
15b16bd2bb
hex7102af60

1896001376 has 48 divisors (see below), whose sum is σ = 3881046960. Its totient is φ = 911032320.

The previous prime is 1896001357. The next prime is 1896001379. The reversal of 1896001376 is 6731006981.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1896001379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77120 + ... + 98688.

It is an arithmetic number, because the mean of its divisors is an integer number (80855145).

Almost surely, 21896001376 is an apocalyptic number.

1896001376 is a gapful number since it is divisible by the number (16) 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 1896001376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940523480).

1896001376 is an abundant number, since it is smaller than the sum of its proper divisors (1985045584).

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

1896001376 is a wasteful number, since it uses less digits than its factorization.

1896001376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21687 (or 21679 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 1896001376 is about 43543.0979145949. The cubic root of 1896001376 is about 1237.6928518408.

The spelling of 1896001376 in words is "one billion, eight hundred ninety-six million, one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 41 67 82 134 164 268 328 536 656 1072 1312 2144 2747 5494 10988 21569 21976 43138 43952 86276 87904 172552 345104 690208 884329 1445123 1768658 2890246 3537316 5780492 7074632 11560984 14149264 23121968 28298528 46243936 59250043 118500086 237000172 474000344 948000688 1896001376