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38748996 = 223311132193
BaseRepresentation
bin1001001111010…
…0001101000100
32200220122122000
42103310031010
534404431441
63502305300
7650234556
oct223641504
980818560
1038748996
111a966770
1210b88230
138049300
1452094d6
1536062b6
hex24f4344

38748996 has 144 divisors (see below), whose sum is σ = 119286720. Its totient is φ = 10782720.

The previous prime is 38748991. The next prime is 38749019. The reversal of 38748996 is 69984783.

38748996 = T241 + T242 + ... + T626.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2612736) is a multiple of the sum of its prime factors (243).

It is not an unprimeable number, because it can be changed into a prime (38748991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200676 + ... + 200868.

It is an arithmetic number, because the mean of its divisors is an integer number (828380).

Almost surely, 238748996 is an apocalyptic number.

38748996 is a gapful number since it is divisible by the number (36) 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 38748996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59643360).

38748996 is an abundant number, since it is smaller than the sum of its proper divisors (80537724).

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

38748996 is a wasteful number, since it uses less digits than its factorization.

38748996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 222 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 38748996 is about 6224.8691552514. The cubic root of 38748996 is about 338.3920500119.

The spelling of 38748996 in words is "thirty-eight million, seven hundred forty-eight thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 99 108 117 132 143 156 169 193 198 234 286 297 338 351 386 396 429 468 507 572 579 594 676 702 772 858 1014 1158 1188 1287 1404 1521 1716 1737 1859 2028 2123 2316 2509 2574 3042 3474 3718 3861 4246 4563 5018 5148 5211 5577 6084 6369 6948 7436 7527 7722 8492 9126 10036 10422 11154 12738 15054 15444 16731 18252 19107 20844 22308 22581 25476 27599 30108 32617 33462 38214 45162 50193 55198 57321 65234 66924 67743 76428 82797 90324 97851 100386 110396 114642 130468 135486 165594 195702 200772 229284 248391 270972 293553 331188 358787 391404 496782 587106 717574 745173 880659 993564 1076361 1174212 1435148 1490346 1761318 2152722 2980692 3229083 3522636 4305444 6458166 9687249 12916332 19374498 38748996