Search a number
-
+
38378496 = 210313312
BaseRepresentation
bin1001001001100…
…1110000000000
32200012211101210
42102121300000
534311102441
63450330120
7644132442
oct222316000
980184353
1038378496
111a733372
1210a29940
137c49790
145150492
153581616
hex2499c00

38378496 has 132 divisors (see below), whose sum is σ = 113829576. Its totient is φ = 11427840.

The previous prime is 38378477. The next prime is 38378531. The reversal of 38378496 is 69487383.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1238001 + ... + 1238031.

Almost surely, 238378496 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 38378496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56914788).

38378496 is an abundant number, since it is smaller than the sum of its proper divisors (75451080).

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

38378496 is a wasteful number, since it uses less digits than its factorization.

38378496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 49 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 38378496 is about 6195.0380144112. The cubic root of 38378496 is about 337.3100780558.

The spelling of 38378496 in words is "thirty-eight million, three hundred seventy-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 128 156 186 192 208 248 256 312 372 384 403 416 496 512 624 744 768 806 832 961 992 1024 1209 1248 1488 1536 1612 1664 1922 1984 2418 2496 2883 2976 3072 3224 3328 3844 3968 4836 4992 5766 5952 6448 6656 7688 7936 9672 9984 11532 11904 12493 12896 13312 15376 15872 19344 19968 23064 23808 24986 25792 30752 31744 37479 38688 39936 46128 47616 49972 51584 61504 74958 77376 92256 95232 99944 103168 123008 149916 154752 184512 199888 206336 246016 299832 309504 369024 399776 412672 492032 599664 619008 738048 799552 984064 1199328 1238016 1476096 1599104 2398656 2952192 3198208 4797312 6396416 9594624 12792832 19189248 38378496