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38214750 = 2353729251
BaseRepresentation
bin1001000111000…
…1110001011110
32122220111210010
42101301301132
534240333000
63443024050
7642551160
oct221616136
978814703
1038214750
111a631342
121096b026
137bc00a2
14510a930
15354cd50
hex2471c5e

38214750 has 128 divisors (see below), whose sum is σ = 113218560. Its totient is φ = 8400000.

The previous prime is 38214727. The next prime is 38214767. The reversal of 38214750 is 5741283.

38214750 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152125 + ... + 152375.

It is an arithmetic number, because the mean of its divisors is an integer number (884520).

Almost surely, 238214750 is an apocalyptic number.

38214750 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38214750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56609280).

38214750 is an abundant number, since it is smaller than the sum of its proper divisors (75003810).

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

38214750 is a wasteful number, since it uses less digits than its factorization.

38214750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 38214750 is about 6181.8079879595. The cubic root of 38214750 is about 336.8296708720.

The spelling of 38214750 in words is "thirty-eight million, two hundred fourteen thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 29 30 35 42 50 58 70 75 87 105 125 145 150 174 175 203 210 250 251 290 350 375 406 435 502 525 609 725 750 753 870 875 1015 1050 1218 1255 1450 1506 1750 1757 2030 2175 2510 2625 3045 3514 3625 3765 4350 5075 5250 5271 6090 6275 7250 7279 7530 8785 10150 10542 10875 12550 14558 15225 17570 18825 21750 21837 25375 26355 30450 31375 36395 37650 43674 43925 50750 50953 52710 62750 72790 76125 87850 94125 101906 109185 131775 152250 152859 181975 188250 218370 219625 254765 263550 305718 363950 439250 509530 545925 658875 764295 909875 1091850 1273825 1317750 1528590 1819750 2547650 2729625 3821475 5459250 6369125 7642950 12738250 19107375 38214750