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745580052 = 223472314293
BaseRepresentation
bin101100011100001…
…010011000010100
31220221221101120000
4230130022120110
53011332030202
6201552211300
724322216530
oct5434123024
91827841500
10745580052
11352951368
12189839b30
13bb60aa39
1471040bc0
15456c791c
hex2c70a614

745580052 has 120 divisors (see below), whose sum is σ = 2324547456. Its totient is φ = 203746752.

The previous prime is 745580047. The next prime is 745580107. The reversal of 745580052 is 250085547.

It is a happy number.

745580052 is a `hidden beast` number, since 74 + 5 + 580 + 0 + 5 + 2 = 666.

It is a super-2 number, since 2×7455800522 = 1111779227880645408, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 745579989 and 745580016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45018 + ... + 59310.

Almost surely, 2745580052 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 745580052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162273728).

745580052 is an abundant number, since it is smaller than the sum of its proper divisors (1578967404).

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

745580052 is a wasteful number, since it uses less digits than its factorization.

745580052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14339 (or 14328 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 745580052 is about 27305.3117909318. The cubic root of 745580052 is about 906.7719835730.

The spelling of 745580052 in words is "seven hundred forty-five million, five hundred eighty thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 54 63 69 81 84 92 108 126 138 161 162 189 207 252 276 322 324 378 414 483 567 621 644 756 828 966 1134 1242 1449 1863 1932 2268 2484 2898 3726 4347 5796 7452 8694 13041 14293 17388 26082 28586 42879 52164 57172 85758 100051 128637 171516 200102 257274 300153 328739 385911 400204 514548 600306 657478 771822 900459 986217 1157733 1200612 1314956 1543644 1800918 1972434 2301173 2315466 2701377 2958651 3601836 3944868 4602346 4630932 5402754 5917302 6903519 8104131 8875953 9204692 10805508 11834604 13807038 16208262 17751906 20710557 26627859 27614076 32416524 35503812 41421114 53255718 62131671 82842228 106511436 124263342 186395013 248526684 372790026 745580052