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30187392 = 273127619
BaseRepresentation
bin111001100100…
…1111110000000
32002210200022120
41303021332000
530211444032
62555004240
7514405614
oct163117600
962720276
1030187392
1116049264
12a139680
13633c381
14401b344
1529b462c
hex1cc9f80

30187392 has 64 divisors (see below), whose sum is σ = 80947200. Its totient is φ = 9967104.

The previous prime is 30187387. The next prime is 30187429. The reversal of 30187392 is 29378103.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×301873922 = 1822557271523328, which contains 22 as substring.

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, 48459 + ... + 49077.

It is an arithmetic number, because the mean of its divisors is an integer number (1264800).

Almost surely, 230187392 is an apocalyptic number.

30187392 is a gapful number since it is divisible by the number (32) 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 30187392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40473600).

30187392 is an abundant number, since it is smaller than the sum of its proper divisors (50759808).

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

30187392 is a wasteful number, since it uses less digits than its factorization.

30187392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 30187392 is about 5494.3054156099. The cubic root of 30187392 is about 311.3688754161.

The spelling of 30187392 in words is "thirty million, one hundred eighty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 381 384 508 619 762 1016 1238 1524 1857 2032 2476 3048 3714 4064 4952 6096 7428 8128 9904 12192 14856 16256 19808 24384 29712 39616 48768 59424 78613 79232 118848 157226 235839 237696 314452 471678 628904 943356 1257808 1886712 2515616 3773424 5031232 7546848 10062464 15093696 30187392