Search a number
-
+
745291900 = 225217617187
BaseRepresentation
bin101100011011000…
…100000001111100
31220221101202021201
4230123010001330
53011243320100
6201542105244
724316606453
oct5433040174
91827352251
10745291900
11352774921
1218971b224
13bb539832
1470da7b9a
154566c36a
hex2c6c407c

745291900 has 72 divisors (see below), whose sum is σ = 1740732336. Its totient is φ = 275942400.

The previous prime is 745291889. The next prime is 745291901. The reversal of 745291900 is 9192547.

It is a super-2 number, since 2×7452919002 = 1110920032411220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 745291900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (745291901) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 100107 + ... + 107293.

It is an arithmetic number, because the mean of its divisors is an integer number (24176838).

Almost surely, 2745291900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 745291900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870366168).

745291900 is an abundant number, since it is smaller than the sum of its proper divisors (995440436).

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

745291900 is a wasteful number, since it uses less digits than its factorization.

745291900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7279 (or 7272 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 745291900 is about 27300.0347985126. The cubic root of 745291900 is about 906.6551520188.

The spelling of 745291900 in words is "seven hundred forty-five million, two hundred ninety-one thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 61 68 85 100 122 170 244 305 340 425 610 850 1037 1220 1525 1700 2074 3050 4148 5185 6100 7187 10370 14374 20740 25925 28748 35935 51850 71870 103700 122179 143740 179675 244358 359350 438407 488716 610895 718700 876814 1221790 1753628 2192035 2443580 3054475 4384070 6108950 7452919 8768140 10960175 12217900 14905838 21920350 29811676 37264595 43840700 74529190 149058380 186322975 372645950 745291900