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38042235 = 32571110979
BaseRepresentation
bin1001000100011…
…1101001111011
32122120202010200
42101013221323
534214322420
63435213243
7641232210
oct221075173
978522120
1038042235
111a523770
12108a7223
137b5c6ca
1450a3b07
153516b90
hex2447a7b

38042235 has 48 divisors (see below), whose sum is σ = 82218240. Its totient is φ = 15808320.

The previous prime is 38042227. The next prime is 38042261. The reversal of 38042235 is 53224083.

It is not a de Polignac number, because 38042235 - 23 = 38042227 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 38042199 and 38042208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2025 + ... + 8954.

It is an arithmetic number, because the mean of its divisors is an integer number (1712880).

Almost surely, 238042235 is an apocalyptic number.

38042235 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

38042235 is an abundant number, since it is smaller than the sum of its proper divisors (44176005).

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

38042235 is a wasteful number, since it uses less digits than its factorization.

38042235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11008 (or 11005 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 38042235 is about 6167.8387624840. The cubic root of 38042235 is about 336.3220498534.

The spelling of 38042235 in words is "thirty-eight million, forty-two thousand, two hundred thirty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 3465 10979 32937 54895 76853 98811 120769 164685 230559 362307 384265 494055 603845 691677 845383 1086921 1152795 1811535 2536149 3458385 4226915 5434605 7608447 12680745 38042235