Search a number
-
+
38343552 = 273137681
BaseRepresentation
bin1001001001000…
…1001110000000
32200011001110120
42102101032000
534303443202
63445500240
7643625532
oct222211600
980131416
1038343552
111a70a095
1210a11680
137c368c0
145141852
1535760bc
hex2491380

38343552 has 64 divisors (see below), whose sum is σ = 109698960. Its totient is φ = 11796480.

The previous prime is 38343491. The next prime is 38343601. The reversal of 38343552 is 25534383.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1152 + ... + 8832.

Almost surely, 238343552 is an apocalyptic number.

38343552 is a gapful number since it is divisible by the number (32) 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 38343552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54849480).

38343552 is an abundant number, since it is smaller than the sum of its proper divisors (71355408).

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

38343552 is a wasteful number, since it uses less digits than its factorization.

38343552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7711 (or 7699 counting only the distinct ones).

The product of its digits is 43200, while the sum is 33.

The square root of 38343552 is about 6192.2170504594. The cubic root of 38343552 is about 337.2076722488.

The spelling of 38343552 in words is "thirty-eight million, three hundred forty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 7681 15362 23043 30724 46086 61448 92172 99853 122896 184344 199706 245792 299559 368688 399412 491584 599118 737376 798824 983168 1198236 1474752 1597648 2396472 2949504 3195296 4792944 6390592 9585888 12781184 19171776 38343552