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38489616 = 2432112472
BaseRepresentation
bin1001001011010…
…0111000010000
32200102110211100
42102310320100
534323131431
63452544400
7645104424
oct222647020
980373740
1038489616
111a7a9900
1210a82100
137c88229
14517cb84
1535a44e6
hex24b4e10

38489616 has 135 divisors (see below), whose sum is σ = 120972943. Its totient is φ = 11415360.

The previous prime is 38489609. The next prime is 38489623. The reversal of 38489616 is 61698483.

The square root of 38489616 is 6204.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (38489609) and next prime (38489623).

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 818905 + ... + 818951.

Almost surely, 238489616 is an apocalyptic number.

38489616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

38489616 is the 6204-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38489616

38489616 is an abundant number, since it is smaller than the sum of its proper divisors (82483327).

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

38489616 is a wasteful number, since it uses less digits than its factorization.

38489616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 63 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The cubic root of 38489616 is about 337.6353103532.

It can be divided in two parts, 384 and 89616, that added together give a square (90000 = 3002).

The spelling of 38489616 in words is "thirty-eight million, four hundred eighty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 47 48 66 72 88 94 99 121 132 141 144 176 188 198 242 264 282 363 376 396 423 484 517 528 564 726 752 792 846 968 1034 1089 1128 1452 1551 1584 1692 1936 2068 2178 2209 2256 2904 3102 3384 4136 4356 4418 4653 5687 5808 6204 6627 6768 8272 8712 8836 9306 11374 12408 13254 17061 17424 17672 18612 19881 22748 24299 24816 26508 34122 35344 37224 39762 45496 48598 51183 53016 68244 72897 74448 79524 90992 97196 102366 106032 136488 145794 159048 194392 204732 218691 267289 272976 291588 318096 388784 409464 437382 534578 583176 801867 818928 874764 1069156 1166352 1603734 1749528 2138312 2405601 3207468 3499056 4276624 4811202 6414936 9622404 12829872 19244808 38489616