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1002464424 = 23351339667
BaseRepresentation
bin111011110000000…
…110010010101000
32120212022110200000
4323300012102220
54023112330144
6243250143000
733561543543
oct7360062250
92525273600
101002464424
114749573a5
1223b881a60
1312c8c0b20
14971cd85a
155d01b769
hex3bc064a8

1002464424 has 96 divisors (see below), whose sum is σ = 3032221920. Its totient is φ = 308442816.

The previous prime is 1002464369. The next prime is 1002464443. The reversal of 1002464424 is 4244642001.

It is a happy number.

1002464424 is a `hidden beast` number, since 10 + 0 + 2 + 4 + 644 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5439 + ... + 45105.

It is an arithmetic number, because the mean of its divisors is an integer number (31585645).

Almost surely, 21002464424 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 1002464424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516110960).

1002464424 is an abundant number, since it is smaller than the sum of its proper divisors (2029757496).

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

1002464424 is a wasteful number, since it uses less digits than its factorization.

1002464424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39701 (or 39685 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 1002464424 is about 31661.7185888574. The cubic root of 1002464424 is about 1000.8208007684.

The spelling of 1002464424 in words is "one billion, two million, four hundred sixty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 936 972 1053 1404 1944 2106 2808 3159 4212 6318 8424 12636 25272 39667 79334 119001 158668 238002 317336 357003 476004 515671 714006 952008 1031342 1071009 1428012 1547013 2062684 2142018 2856024 3094026 3213027 4125368 4284036 4641039 6188052 6426054 8568072 9282078 9639081 12376104 12852108 13923117 18564156 19278162 25704216 27846234 37128312 38556324 41769351 55692468 77112648 83538702 111384936 125308053 167077404 250616106 334154808 501232212 1002464424