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37882428 = 22319166151
BaseRepresentation
bin1001000010000…
…0101000111100
32122021121220220
42100200220330
534144214203
63431541340
7636665253
oct220405074
978247826
1037882428
111a4246a1
121082a850
137b04a4c
14506179a
1534d4653
hex2420a3c

37882428 has 24 divisors (see below), whose sum is σ = 93045120. Its totient is φ = 11962800.

The previous prime is 37882393. The next prime is 37882457. The reversal of 37882428 is 82428873.

It is a self number, because there is not a number n which added to its sum of digits gives 37882428.

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, 82848 + ... + 83303.

It is an arithmetic number, because the mean of its divisors is an integer number (3876880).

Almost surely, 237882428 is an apocalyptic number.

37882428 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

37882428 is an abundant number, since it is smaller than the sum of its proper divisors (55162692).

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

37882428 is a wasteful number, since it uses less digits than its factorization.

37882428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166177 (or 166175 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 37882428 is about 6154.8702667075. The cubic root of 37882428 is about 335.8504507377.

It can be divided in two parts, 3788 and 2428, that added together give a triangular number (6216 = T111).

The spelling of 37882428 in words is "thirty-seven million, eight hundred eighty-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 166151 332302 498453 664604 996906 1993812 3156869 6313738 9470607 12627476 18941214 37882428