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1007264472 = 233220319051
BaseRepresentation
bin111100000010011…
…010001011011000
32121012100100002120
4330002122023120
54030324430342
6243541101240
733650415054
oct7402321330
92535310076
101007264472
11477635785
122413b7820
131308b18a6
1497abcc64
155d668aec
hex3c09a2d8

1007264472 has 32 divisors (see below), whose sum is σ = 2519436480. Its totient is φ = 335584800.

The previous prime is 1007264471. The next prime is 1007264497. The reversal of 1007264472 is 2744627001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007264471) 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, 43347 + ... + 62397.

It is an arithmetic number, because the mean of its divisors is an integer number (78732390).

Almost surely, 21007264472 is an apocalyptic number.

1007264472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1007264472 is an abundant number, since it is smaller than the sum of its proper divisors (1512172008).

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

1007264472 is a wasteful number, since it uses less digits than its factorization.

1007264472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21263 (or 21259 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 1007264472 is about 31737.4301417112. The cubic root of 1007264472 is about 1002.4156506001.

The spelling of 1007264472 in words is "one billion, seven million, two hundred sixty-four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 2203 4406 6609 8812 13218 17624 19051 26436 38102 52872 57153 76204 114306 152408 228612 457224 41969353 83938706 125908059 167877412 251816118 335754824 503632236 1007264472