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381371625 = 335317323
BaseRepresentation
bin10110101110110…
…100010011101001
3222120121200112000
4112232310103221
51240112343000
6101502041213
712310414425
oct2656642351
9876550460
10381371625
11186302168
12a7879209
136101b5ab
1438915b85
1523734000
hex16bb44e9

381371625 has 128 divisors (see below), whose sum is σ = 781747200. Its totient is φ = 183110400.

The previous prime is 381371621. The next prime is 381371651. The reversal of 381371625 is 526173183.

It is not a de Polignac number, because 381371625 - 22 = 381371621 is a prime.

Its product of digits (30240) is a multiple of the sum of its prime divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 381371625.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381371621) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16581364 + ... + 16581386.

It is an arithmetic number, because the mean of its divisors is an integer number (6107400).

Almost surely, 2381371625 is an apocalyptic number.

It is an amenable number.

381371625 is an abundant number, since it is smaller than the sum of its proper divisors (400375575).

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

381371625 is an equidigital number, since it uses as much as digits as its factorization.

381371625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 48 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 381371625 is about 19528.7384385167. The cubic root of 381371625 is about 725.1860798621.

The spelling of 381371625 in words is "three hundred eighty-one million, three hundred seventy-one thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 17 23 25 27 45 51 69 75 85 115 125 135 153 207 225 255 289 345 375 391 425 459 575 621 675 765 867 1035 1125 1173 1275 1445 1725 1955 2125 2295 2601 2875 3105 3375 3519 3825 4335 4913 5175 5865 6375 6647 7225 7803 8625 9775 10557 11475 13005 14739 15525 17595 19125 19941 21675 24565 25875 29325 33235 36125 39015 44217 48875 52785 57375 59823 65025 73695 77625 87975 99705 108375 112999 122825 132651 146625 166175 179469 195075 221085 263925 299115 325125 338997 368475 439875 498525 564995 614125 663255 830875 897345 975375 1016991 1105425 1319625 1495575 1694985 1842375 2492625 2824975 3050973 3316275 4486725 5084955 5527125 7477875 8474925 14124875 15254865 16581375 22433625 25424775 42374625 76274325 127123875 381371625