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3751562500 = 225874
BaseRepresentation
bin1101111110011100…
…0100110100000100
3100200110020010021021
43133213010310010
530140400000000
61420133000524
7161652520000
oct33747046404
910613203237
103751562500
111655728484
12888483144
1347a30828a
14278363700
1516e54e11a
hexdf9c4d04

3751562500 has 135 divisors (see below), whose sum is σ = 9573725567. Its totient is φ = 1286250000.

The previous prime is 3751562473. The next prime is 3751562509. The reversal of 3751562500 is 52651573.

The square root of 3751562500 is 61250.

It is a perfect power (a square), and thus also a powerful number.

3751562500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2667309316 + 1084253184 = 51646^2 + 32928^2 .

It is an ABA number since it can be written as A⋅BA, here for A=4, B=175.

It is not an unprimeable number, because it can be changed into a prime (3751562509) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 535937497 + ... + 535937503.

Almost surely, 23751562500 is an apocalyptic number.

3751562500 is the 61250-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3751562500

3751562500 is an abundant number, since it is smaller than the sum of its proper divisors (5822163067).

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

3751562500 is an frugal number, since it uses more digits than its factorization.

3751562500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 34.

The cubic root of 3751562500 is about 1553.8320030496.

The spelling of 3751562500 in words is "three billion, seven hundred fifty-one million, five hundred sixty-two thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 125 140 175 196 245 250 343 350 490 500 625 686 700 875 980 1225 1250 1372 1715 1750 2401 2450 2500 3125 3430 3500 4375 4802 4900 6125 6250 6860 8575 8750 9604 12005 12250 12500 15625 17150 17500 21875 24010 24500 30625 31250 34300 42875 43750 48020 60025 61250 62500 78125 85750 87500 109375 120050 122500 153125 156250 171500 214375 218750 240100 300125 306250 312500 390625 428750 437500 546875 600250 612500 765625 781250 857500 1071875 1093750 1200500 1500625 1531250 1562500 2143750 2187500 2734375 3001250 3062500 3828125 4287500 5359375 5468750 6002500 7503125 7656250 10718750 10937500 15006250 15312500 19140625 21437500 26796875 30012500 37515625 38281250 53593750 75031250 76562500 107187500 133984375 150062500 187578125 267968750 375156250 535937500 750312500 937890625 1875781250 3751562500