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672074532 = 2232172574273
BaseRepresentation
bin101000000011110…
…000101100100100
31201211121220221100
4220003300230210
52334022341112
6150404520100
722440352653
oct5003605444
91654556840
10672074532
113154065a8
121690b0030
13a931274c
146538919a
153e0082dc
hex280f0b24

672074532 has 72 divisors (see below), whose sum is σ = 1806209496. Its totient is φ = 209977344.

The previous prime is 672074527. The next prime is 672074537. The reversal of 672074532 is 235470276.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (672074527) and next prime (672074537).

It can be written as a sum of positive squares in 4 ways, for example, as 313502436 + 358572096 = 17706^2 + 18936^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (672074537) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 155148 + ... + 159420.

It is an arithmetic number, because the mean of its divisors is an integer number (25086243).

Almost surely, 2672074532 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 672074532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903104748).

672074532 is an abundant number, since it is smaller than the sum of its proper divisors (1134134964).

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

672074532 is a wasteful number, since it uses less digits than its factorization.

672074532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4557 (or 4552 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 672074532 is about 25924.4003209332. The cubic root of 672074532 is about 875.9362091535.

The spelling of 672074532 in words is "six hundred seventy-two million, seventy-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 257 306 514 612 771 1028 1542 2313 3084 4273 4369 4626 8546 8738 9252 12819 13107 17092 17476 25638 26214 38457 39321 51276 52428 72641 76914 78642 145282 153828 157284 217923 290564 435846 653769 871692 1098161 1307538 2196322 2615076 3294483 4392644 6588966 9883449 13177932 18668737 19766898 37337474 39533796 56006211 74674948 112012422 168018633 224024844 336037266 672074532