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507941028 = 2232717139853
BaseRepresentation
bin11110010001101…
…001000010100100
31022101210002002200
4132101221002210
52020013103103
6122222534500
715405266430
oct3621510244
91271702080
10507941028
112407a0681
12122137430
138130572a
144b6619c0
152e8d60a3
hex1e4690a4

507941028 has 144 divisors (see below), whose sum is σ = 1566714240. Its totient is φ = 135447552.

The previous prime is 507941023. The next prime is 507941033. The reversal of 507941028 is 820149705.

It is an interprime number because it is at equal distance from previous prime (507941023) and next prime (507941033).

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 = 507940983 and 507941001.

It is not an unprimeable number, because it can be changed into a prime (507941023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 595050 + ... + 595902.

It is an arithmetic number, because the mean of its divisors is an integer number (10879960).

Almost surely, 2507941028 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 507941028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783357120).

507941028 is an abundant number, since it is smaller than the sum of its proper divisors (1058773212).

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

507941028 is a wasteful number, since it uses less digits than its factorization.

507941028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 507941028 is about 22537.5470714983. The cubic root of 507941028 is about 797.8803408499.

The spelling of 507941028 in words is "five hundred seven million, nine hundred forty-one thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 139 153 204 238 252 278 306 357 417 476 556 612 714 834 853 973 1071 1251 1428 1668 1706 1946 2142 2363 2502 2559 2919 3412 3892 4284 4726 5004 5118 5838 5971 7089 7677 8757 9452 10236 11676 11942 14178 14501 15354 16541 17514 17913 21267 23884 28356 29002 30708 33082 35028 35826 42534 43503 49623 53739 58004 66164 71652 85068 87006 99246 101507 107478 118567 130509 148869 174012 198492 203014 214956 237134 261018 297738 304521 355701 406028 474268 522036 595476 609042 711402 829969 913563 1067103 1218084 1422804 1659938 1827126 2015639 2134206 2489907 3319876 3654252 4031278 4268412 4979814 6046917 7469721 8062556 9959628 12093834 14109473 14939442 18140751 24187668 28218946 29878884 36281502 42328419 56437892 72563004 84656838 126985257 169313676 253970514 507941028