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38076804 = 22341731223
BaseRepresentation
bin1001000101000…
…0000110000100
32122122111120000
42101100012010
534221424204
63440041300
7641435043
oct221200604
978574500
1038076804
111a547737
1210903230
137b7236c
1450b255a
153522039
hex2450184

38076804 has 120 divisors (see below), whose sum is σ = 109283328. Its totient is φ = 11508480.

The previous prime is 38076793. The next prime is 38076809. The reversal of 38076804 is 40867083.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38076809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 170637 + ... + 170859.

Almost surely, 238076804 is an apocalyptic number.

38076804 is a gapful number since it is divisible by the number (34) 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 38076804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54641664).

38076804 is an abundant number, since it is smaller than the sum of its proper divisors (71206524).

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

38076804 is a wasteful number, since it uses less digits than its factorization.

38076804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 38076804 is about 6170.6404853953. The cubic root of 38076804 is about 336.4238910229.

The spelling of 38076804 in words is "thirty-eight million, seventy-six thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 27 31 34 36 51 54 62 68 81 93 102 108 124 153 162 186 204 223 279 306 324 372 446 459 527 558 612 669 837 892 918 1054 1116 1338 1377 1581 1674 1836 2007 2108 2511 2676 2754 3162 3348 3791 4014 4743 5022 5508 6021 6324 6913 7582 8028 9486 10044 11373 12042 13826 14229 15164 18063 18972 20739 22746 24084 27652 28458 34119 36126 41478 42687 45492 56916 62217 68238 72252 82956 85374 102357 117521 124434 136476 170748 186651 204714 235042 248868 307071 352563 373302 409428 470084 559953 614142 705126 746604 1057689 1119906 1228284 1410252 2115378 2239812 3173067 4230756 6346134 9519201 12692268 19038402 38076804