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38469840 = 2435792029
BaseRepresentation
bin1001001011000…
…0000011010000
32200101110200220
42102300003100
534322013330
63452313040
7644662653
oct222600320
980343626
1038469840
111a795a62
1210a72780
137c7c226
14517589a
15359d710
hex24b00d0

38469840 has 80 divisors (see below), whose sum is σ = 120825600. Its totient is φ = 10123776.

The previous prime is 38469811. The next prime is 38469841. The reversal of 38469840 is 4896483.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 38469792 and 38469801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38469841) 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, 17946 + ... + 19974.

It is an arithmetic number, because the mean of its divisors is an integer number (1510320).

Almost surely, 238469840 is an apocalyptic number.

38469840 is a gapful number since it is divisible by the number (30) 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 38469840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60412800).

38469840 is an abundant number, since it is smaller than the sum of its proper divisors (82355760).

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

38469840 is a wasteful number, since it uses less digits than its factorization.

38469840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 38469840 is about 6202.4059847772. The cubic root of 38469840 is about 337.5774746694.

The spelling of 38469840 in words is "thirty-eight million, four hundred sixty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 120 158 237 240 316 395 474 632 790 948 1185 1264 1580 1896 2029 2370 3160 3792 4058 4740 6087 6320 8116 9480 10145 12174 16232 18960 20290 24348 30435 32464 40580 48696 60870 81160 97392 121740 160291 162320 243480 320582 480873 486960 641164 801455 961746 1282328 1602910 1923492 2404365 2564656 3205820 3846984 4808730 6411640 7693968 9617460 12823280 19234920 38469840