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73256472 = 233223311427
BaseRepresentation
bin1000101110111…
…00111000011000
312002211210222200
410113130320120
5122223201342
611134050200
71546445502
oct427347030
9162753880
1073256472
1138395743
1220649960
131223bb33
149a2cd72
15667094c
hex45dce18

73256472 has 96 divisors (see below), whose sum is σ = 213857280. Its totient is φ = 22587840.

The previous prime is 73256471. The next prime is 73256473. The reversal of 73256472 is 27465237.

It is a happy number.

73256472 is a `hidden beast` number, since 7 + 3 + 2 + 5 + 647 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (73256471) and next prime (73256473).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73256471) 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 23 ways as a sum of consecutive naturals, for example, 50623 + ... + 52049.

It is an arithmetic number, because the mean of its divisors is an integer number (2227680).

Almost surely, 273256472 is an apocalyptic number.

73256472 is a gapful number since it is divisible by the number (72) 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 73256472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106928640).

73256472 is an abundant number, since it is smaller than the sum of its proper divisors (140600808).

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

73256472 is a wasteful number, since it uses less digits than its factorization.

73256472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1486 counting only the distinct ones).

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

The square root of 73256472 is about 8558.9994742376. Note that the first 3 decimals coincide. The cubic root of 73256472 is about 418.4227920759.

The spelling of 73256472 in words is "seventy-three million, two hundred fifty-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 31 36 46 62 69 72 92 93 124 138 184 186 207 248 276 279 372 414 552 558 713 744 828 1116 1426 1427 1656 2139 2232 2852 2854 4278 4281 5704 5708 6417 8556 8562 11416 12834 12843 17112 17124 25668 25686 32821 34248 44237 51336 51372 65642 88474 98463 102744 131284 132711 176948 196926 262568 265422 295389 353896 393852 398133 530844 590778 787704 796266 1017451 1061688 1181556 1592532 2034902 2363112 3052353 3185064 4069804 6104706 8139608 9157059 12209412 18314118 24418824 36628236 73256472