Search a number
-
+
1925265440 = 25571990473
BaseRepresentation
bin111001011000001…
…0011100000100000
311222011201121200102
41302300103200200
512420331443230
6515013041532
765465325530
oct16260234040
94864647612
101925265440
118a884246a
124589262a8
13248b3b827
141439a34c0
15b404e045
hex72c13820

1925265440 has 96 divisors (see below), whose sum is σ = 5471867520. Its totient is φ = 625342464.

The previous prime is 1925265431. The next prime is 1925265443. The reversal of 1925265440 is 445625291.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 1925265394 and 1925265403.

It is not an unprimeable number, because it can be changed into a prime (1925265443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23957 + ... + 66516.

It is an arithmetic number, because the mean of its divisors is an integer number (56998620).

Almost surely, 21925265440 is an apocalyptic number.

1925265440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1925265440 is an abundant number, since it is smaller than the sum of its proper divisors (3546602080).

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

1925265440 is a wasteful number, since it uses less digits than its factorization.

1925265440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90514 (or 90506 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 1925265440 is about 43877.8468022304. The cubic root of 1925265440 is about 1244.0281421658.

The spelling of 1925265440 in words is "one billion, nine hundred twenty-five million, two hundred sixty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 70 76 80 95 112 133 140 152 160 190 224 266 280 304 380 532 560 608 665 760 1064 1120 1330 1520 2128 2660 3040 4256 5320 10640 21280 90473 180946 361892 452365 633311 723784 904730 1266622 1447568 1718987 1809460 2533244 2895136 3166555 3437974 3618920 5066488 6333110 6875948 7237840 8594935 10132976 12032909 12666220 13751896 14475680 17189870 20265952 24065818 25332440 27503792 34379740 48131636 50664880 55007584 60164545 68759480 96263272 101329760 120329090 137518960 192526544 240658180 275037920 385053088 481316360 962632720 1925265440