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38798928 = 2432761631
BaseRepresentation
bin1001010000000…
…0011001010000
32201000012010100
42110000121100
534413031203
63503332400
7650533260
oct224003120
981005110
1038798928
111a9a0233
1210bb1100
138065c5c
14521d7a0
153615ea3
hex2500650

38798928 has 120 divisors (see below), whose sum is σ = 126329216. Its totient is φ = 10886400.

The previous prime is 38798911. The next prime is 38798951. The reversal of 38798928 is 82989783.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61173 + ... + 61803.

Almost surely, 238798928 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 38798928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63164608).

38798928 is an abundant number, since it is smaller than the sum of its proper divisors (87530288).

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

38798928 is a wasteful number, since it uses less digits than its factorization.

38798928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 704 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 38798928 is about 6228.8785507505. The cubic root of 38798928 is about 338.5373384161.

The spelling of 38798928 in words is "thirty-eight million, seven hundred ninety-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 61 63 72 84 112 122 126 144 168 183 244 252 336 366 427 488 504 549 631 732 854 976 1008 1098 1262 1281 1464 1708 1893 2196 2524 2562 2928 3416 3786 3843 4392 4417 5048 5124 5679 6832 7572 7686 8784 8834 10096 10248 11358 13251 15144 15372 17668 20496 22716 26502 30288 30744 35336 38491 39753 45432 53004 61488 70672 76982 79506 90864 106008 115473 153964 159012 212016 230946 269437 307928 318024 346419 461892 538874 615856 636048 692838 808311 923784 1077748 1385676 1616622 1847568 2155496 2424933 2771352 3233244 4310992 4849866 5542704 6466488 9699732 12932976 19399464 38798928