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38739480 = 233513191307
BaseRepresentation
bin1001001111000…
…1111000011000
32200220011120120
42103301320120
534404130410
63502153240
7650165043
oct223617030
980804516
1038739480
111a95a5aa
1210b82820
138044b90
145205c5a
153603570
hex24f1e18

38739480 has 128 divisors (see below), whose sum is σ = 131846400. Its totient is φ = 9027072.

The previous prime is 38739479. The next prime is 38739487. The reversal of 38739480 is 8493783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38739487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28987 + ... + 30293.

It is an arithmetic number, because the mean of its divisors is an integer number (1030050).

Almost surely, 238739480 is an apocalyptic number.

38739480 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 38739480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65923200).

38739480 is an abundant number, since it is smaller than the sum of its proper divisors (93106920).

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

38739480 is a wasteful number, since it uses less digits than its factorization.

38739480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 38739480 is about 6224.1047549025. The cubic root of 38739480 is about 338.3643469080.

The spelling of 38739480 in words is "thirty-eight million, seven hundred thirty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 19 20 24 26 30 38 39 40 52 57 60 65 76 78 95 104 114 120 130 152 156 190 195 228 247 260 285 312 380 390 456 494 520 570 741 760 780 988 1140 1235 1307 1482 1560 1976 2280 2470 2614 2964 3705 3921 4940 5228 5928 6535 7410 7842 9880 10456 13070 14820 15684 16991 19605 24833 26140 29640 31368 33982 39210 49666 50973 52280 67964 74499 78420 84955 99332 101946 124165 135928 148998 156840 169910 198664 203892 248330 254865 297996 322829 339820 372495 407784 496660 509730 595992 645658 679640 744990 968487 993320 1019460 1291316 1489980 1614145 1936974 2038920 2582632 2979960 3228290 3873948 4842435 6456580 7747896 9684870 12913160 19369740 38739480