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38740464 = 2433723557
BaseRepresentation
bin1001001111001…
…0000111110000
32200220012221000
42103302013300
534404143324
63502202000
7650200650
oct223620760
980805830
1038740464
111a960314
1210b83300
138045469
145206360
1536039c9
hex24f21f0

38740464 has 160 divisors (see below), whose sum is σ = 132848640. Its totient is φ = 10568448.

The previous prime is 38740459. The next prime is 38740477. The reversal of 38740464 is 46404783.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69274 + ... + 69830.

It is an arithmetic number, because the mean of its divisors is an integer number (830304).

Almost surely, 238740464 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 38740464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66424320).

38740464 is an abundant number, since it is smaller than the sum of its proper divisors (94108176).

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

38740464 is a wasteful number, since it uses less digits than its factorization.

38740464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 38740464 is about 6224.1838019133. The cubic root of 38740464 is about 338.3672117520.

It can be divided in two parts, 38740 and 464, that added together give a square (39204 = 1982).

The spelling of 38740464 in words is "thirty-eight million, seven hundred forty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 36 42 46 48 54 56 63 69 72 84 92 108 112 126 138 144 161 168 184 189 207 216 252 276 322 336 368 378 414 432 483 504 552 557 621 644 756 828 966 1008 1104 1114 1242 1288 1449 1512 1656 1671 1932 2228 2484 2576 2898 3024 3312 3342 3864 3899 4347 4456 4968 5013 5796 6684 7728 7798 8694 8912 9936 10026 11592 11697 12811 13368 15039 15596 17388 20052 23184 23394 25622 26736 30078 31192 34776 35091 38433 40104 46788 51244 60156 62384 69552 70182 76866 80208 89677 93576 102488 105273 115299 120312 140364 153732 179354 187152 204976 210546 230598 240624 269031 280728 307464 345897 358708 421092 461196 538062 561456 614928 691794 717416 807093 842184 922392 1076124 1383588 1434832 1614186 1684368 1844784 2152248 2421279 2767176 3228372 4304496 4842558 5534352 6456744 9685116 12913488 19370232 38740464