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1387002528 = 25341731477
BaseRepresentation
bin101001010101011…
…1111101010100000
310120122220000210000
41102222333222200
510320033040103
6345344140000
746241220102
oct12252775240
93518800700
101387002528
11651a2158a
12328607600
1319147a772
14d22cb572
1581b78aa3
hex52abfaa0

1387002528 has 120 divisors (see below), whose sum is σ = 4319222292. Its totient is φ = 435124224.

The previous prime is 1387002509. The next prime is 1387002541. The reversal of 1387002528 is 8252007831.

It can be written as a sum of positive squares in 2 ways, for example, as 1314207504 + 72795024 = 36252^2 + 8532^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1387002492 and 1387002501.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28326 + ... + 59802.

Almost surely, 21387002528 is an apocalyptic number.

1387002528 is a gapful number since it is divisible by the number (18) 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 1387002528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159611146).

1387002528 is an abundant number, since it is smaller than the sum of its proper divisors (2932219764).

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

1387002528 is a wasteful number, since it uses less digits than its factorization.

1387002528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31516 (or 31499 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1387002528 is about 37242.4828388227. The cubic root of 1387002528 is about 1115.2162377638.

The spelling of 1387002528 in words is "one billion, three hundred eighty-seven million, two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 272 288 306 324 408 432 459 544 612 648 816 864 918 1224 1296 1377 1632 1836 2448 2592 2754 3672 4896 5508 7344 11016 14688 22032 31477 44064 62954 94431 125908 188862 251816 283293 377724 503632 535109 566586 755448 849879 1007264 1070218 1133172 1510896 1605327 1699758 2140436 2266344 2549637 3021792 3210654 3399516 4280872 4532688 4815981 5099274 6421308 6799032 8561744 9065376 9631962 10198548 12842616 13598064 14447943 17123488 19263924 20397096 25685232 27196128 28895886 38527848 40794192 43343829 51370464 57791772 77055696 81588384 86687658 115583544 154111392 173375316 231167088 346750632 462334176 693501264 1387002528