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38542296 = 233132341131
BaseRepresentation
bin1001001100000…
…1101111011000
32200112011002110
42103001233120
534331323141
63454032320
7645414132
oct223015730
980464073
1038542296
111a835441
1210aa86a0
137ca61c0
145194052
1535b4e16
hex24c1bd8

38542296 has 128 divisors (see below), whose sum is σ = 111767040. Its totient is φ = 10982400.

The previous prime is 38542267. The next prime is 38542313. The reversal of 38542296 is 69224583.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294151 + ... + 294281.

It is an arithmetic number, because the mean of its divisors is an integer number (873180).

Almost surely, 238542296 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 38542296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55883520).

38542296 is an abundant number, since it is smaller than the sum of its proper divisors (73224744).

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

38542296 is a wasteful number, since it uses less digits than its factorization.

38542296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 213 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 38542296 is about 6208.2441962281. The cubic root of 38542296 is about 337.7892784570.

The spelling of 38542296 in words is "thirty-eight million, five hundred forty-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 41 46 52 69 78 82 92 104 123 131 138 156 164 184 246 262 276 299 312 328 393 492 524 533 552 598 786 897 943 984 1048 1066 1196 1572 1599 1703 1794 1886 2132 2392 2829 3013 3144 3198 3406 3588 3772 4264 5109 5371 5658 6026 6396 6812 7176 7544 9039 10218 10742 11316 12052 12259 12792 13624 16113 18078 20436 21484 22632 24104 24518 32226 36156 36777 39169 40872 42968 49036 64452 69823 72312 73554 78338 98072 117507 123533 128904 139646 147108 156676 209469 235014 247066 279292 294216 313352 370599 418938 470028 494132 558584 741198 837876 940056 988264 1482396 1605929 1675752 2964792 3211858 4817787 6423716 9635574 12847432 19271148 38542296