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38475780 = 22357223569
BaseRepresentation
bin1001001011000…
…1100000000100
32200101202211220
42102301200010
534322211110
63452400340
7645016200
oct222614004
980352756
1038475780
111a79a472
1210a760b0
137c81b45
145177b00
1535a0370
hex24b1804

38475780 has 144 divisors (see below), whose sum is σ = 130999680. Its totient is φ = 8397312.

The previous prime is 38475769. The next prime is 38475791. The reversal of 38475780 is 8757483.

It is an interprime number because it is at equal distance from previous prime (38475769) and next prime (38475791).

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67336 + ... + 67904.

It is an arithmetic number, because the mean of its divisors is an integer number (909720).

Almost surely, 238475780 is an apocalyptic number.

38475780 is a gapful number since it is divisible by the number (30) 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 38475780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65499840).

38475780 is an abundant number, since it is smaller than the sum of its proper divisors (92523900).

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

38475780 is a wasteful number, since it uses less digits than its factorization.

38475780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 38475780 is about 6202.8848127303. The cubic root of 38475780 is about 337.5948485134.

The spelling of 38475780 in words is "thirty-eight million, four hundred seventy-five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 49 60 69 70 84 92 98 105 115 138 140 147 161 196 210 230 245 276 294 322 345 420 460 483 490 569 588 644 690 735 805 966 980 1127 1138 1380 1470 1610 1707 1932 2254 2276 2415 2845 2940 3220 3381 3414 3983 4508 4830 5635 5690 6762 6828 7966 8535 9660 11270 11380 11949 13087 13524 15932 16905 17070 19915 22540 23898 26174 27881 33810 34140 39261 39830 47796 52348 55762 59745 65435 67620 78522 79660 83643 91609 111524 119490 130870 139405 157044 167286 183218 196305 238980 261740 274827 278810 334572 366436 392610 418215 458045 549654 557620 641263 785220 836430 916090 1099308 1282526 1374135 1672860 1832180 1923789 2565052 2748270 3206315 3847578 5496540 6412630 7695156 9618945 12825260 19237890 38475780