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38898048 = 273729499
BaseRepresentation
bin1001010001100…
…0100110000000
32201012020002110
42110120212000
534424214143
63505415320
7651425250
oct224304600
981166073
1038898048
111aa58752
121103a540
13809c0c7
145247960
153635533
hex2518980

38898048 has 128 divisors (see below), whose sum is σ = 122400000. Its totient is φ = 10708992.

The previous prime is 38898047. The next prime is 38898049. The reversal of 38898048 is 84089883.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38898047) and next prime (38898049).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 38897988 and 38898006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38898043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77703 + ... + 78201.

It is an arithmetic number, because the mean of its divisors is an integer number (956250).

Almost surely, 238898048 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 38898048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61200000).

38898048 is an abundant number, since it is smaller than the sum of its proper divisors (83501952).

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

38898048 is a wasteful number, since it uses less digits than its factorization.

38898048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 38898048 is about 6236.8299640122. The cubic root of 38898048 is about 338.8253814804.

The spelling of 38898048 in words is "thirty-eight million, eight hundred ninety-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 128 168 174 192 203 224 232 336 348 384 406 448 464 499 609 672 696 812 896 928 998 1218 1344 1392 1497 1624 1856 1996 2436 2688 2784 2994 3248 3493 3712 3992 4872 5568 5988 6496 6986 7984 9744 10479 11136 11976 12992 13972 14471 15968 19488 20958 23952 25984 27944 28942 31936 38976 41916 43413 47904 55888 57884 63872 77952 83832 86826 95808 101297 111776 115768 167664 173652 191616 202594 223552 231536 303891 335328 347304 405188 447104 463072 607782 670656 694608 810376 926144 1215564 1341312 1389216 1620752 1852288 2431128 2778432 3241504 4862256 5556864 6483008 9724512 12966016 19449024 38898048