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1001394464 = 25726916619
BaseRepresentation
bin111011101100000…
…001000100100000
32120210022002221212
4323230001010200
54022324110324
6243211205252
733546466250
oct7354010440
92523262855
101001394464
11474296534
1223b446828
1312c607b05
1496dd1960
155cda970e
hex3bb01120

1001394464 has 48 divisors (see below), whose sum is σ = 2261649600. Its totient is φ = 427547904.

The previous prime is 1001394439. The next prime is 1001394479. The reversal of 1001394464 is 4644931001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1001394464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51947 + ... + 68565.

It is an arithmetic number, because the mean of its divisors is an integer number (47117700).

Almost surely, 21001394464 is an apocalyptic number.

1001394464 is a gapful number since it is divisible by the number (14) 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 1001394464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130824800).

1001394464 is an abundant number, since it is smaller than the sum of its proper divisors (1260255136).

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

1001394464 is a wasteful number, since it uses less digits than its factorization.

1001394464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16905 (or 16897 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 1001394464 is about 31644.8173323848. The cubic root of 1001394464 is about 1000.4646054417.

The spelling of 1001394464 in words is "one billion, one million, three hundred ninety-four thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 269 538 1076 1883 2152 3766 4304 7532 8608 15064 16619 30128 33238 60256 66476 116333 132952 232666 265904 465332 531808 930664 1861328 3722656 4470511 8941022 17882044 31293577 35764088 62587154 71528176 125174308 143056352 250348616 500697232 1001394464