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772270038 = 23510115733
BaseRepresentation
bin101110000001111…
…110011111010110
31222211011101100000
4232001332133112
53040200120123
6204344232130
725065121101
oct5601763726
91884141300
10772270038
11366a20a01
1219676b646
13c3cc4227
14747cb738
1547beab43
hex2e07e7d6

772270038 has 48 divisors (see below), whose sum is σ = 1752515856. Its totient is φ = 254858400.

The previous prime is 772270013. The next prime is 772270043. The reversal of 772270038 is 830072277.

It is a junction number, because it is equal to n+sod(n) for n = 772269984 and 772270011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41220 + ... + 56952.

It is an arithmetic number, because the mean of its divisors is an integer number (36510747).

Almost surely, 2772270038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772270038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876257928).

772270038 is an abundant number, since it is smaller than the sum of its proper divisors (980245818).

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

772270038 is a wasteful number, since it uses less digits than its factorization.

772270038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15851 (or 15839 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 772270038 is about 27789.7469941703. The cubic root of 772270038 is about 917.4654712088.

The spelling of 772270038 in words is "seven hundred seventy-two million, two hundred seventy thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 243 303 486 606 909 1818 2727 5454 8181 15733 16362 24543 31466 47199 49086 94398 141597 283194 424791 849582 1274373 1589033 2548746 3178066 3823119 4767099 7646238 9534198 14301297 28602594 42903891 85807782 128711673 257423346 386135019 772270038