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1925375000 = 235673211
BaseRepresentation
bin111001011000010…
…1110010000011000
311222011221011222012
41302300232100120
512420344000000
6515015245052
765466263123
oct16260562030
94864834865
101925375000
118a890780a
12458979788
13248b79663
141439d13ba
15b4071735
hex72c2e418

1925375000 has 112 divisors (see below), whose sum is σ = 4596034920. Its totient is φ = 756000000.

The previous prime is 1925374999. The next prime is 1925375059. The reversal of 1925375000 is 5735291.

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 27 ways as a sum of consecutive naturals, for example, 9124895 + ... + 9125105.

Almost surely, 21925375000 is an apocalyptic number.

1925375000 is a gapful number since it is divisible by the number (10) 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 1925375000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298017460).

1925375000 is an abundant number, since it is smaller than the sum of its proper divisors (2670659920).

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

1925375000 is an frugal number, since it uses more digits than its factorization.

1925375000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 32.

The square root of 1925375000 is about 43879.0952504721. The cubic root of 1925375000 is about 1244.0517394554.

The spelling of 1925375000 in words is "one billion, nine hundred twenty-five million, three hundred seventy-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 125 146 200 211 250 292 365 422 500 584 625 730 844 1000 1055 1250 1460 1688 1825 2110 2500 2920 3125 3650 4220 5000 5275 6250 7300 8440 9125 10550 12500 14600 15403 15625 18250 21100 25000 26375 30806 31250 36500 42200 45625 52750 61612 62500 73000 77015 91250 105500 123224 125000 131875 154030 182500 211000 228125 263750 308060 365000 385075 456250 527500 616120 659375 770150 912500 1055000 1140625 1318750 1540300 1825000 1925375 2281250 2637500 3080600 3296875 3850750 4562500 5275000 6593750 7701500 9125000 9626875 13187500 15403000 19253750 26375000 38507500 48134375 77015000 96268750 192537500 240671875 385075000 481343750 962687500 1925375000