Search a number
-
+
2452157240 = 2351337233547
BaseRepresentation
bin1001001000101000…
…1111001100111000
320022220011111100112
42102022033030320
520010223012430
61043154123452
7114523664321
oct22212171470
96286144315
102452157240
1110491a7035
12585280588
1330104ac20
14193959448
15e542a195
hex9228f338

2452157240 has 128 divisors (see below), whose sum is σ = 6139748160. Its totient is φ = 875556864.

The previous prime is 2452157237. The next prime is 2452157243. The reversal of 2452157240 is 427512542.

It is an interprime number because it is at equal distance from previous prime (2452157237) and next prime (2452157243).

It is a junction number, because it is equal to n+sod(n) for n = 2452157197 and 2452157206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2452157243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4482647 + ... + 4483193.

Almost surely, 22452157240 is an apocalyptic number.

2452157240 is a gapful number since it is divisible by the number (20) 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 2452157240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069874080).

2452157240 is an abundant number, since it is smaller than the sum of its proper divisors (3687590920).

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

2452157240 is a wasteful number, since it uses less digits than its factorization.

2452157240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 32.

The square root of 2452157240 is about 49519.2613030526. The cubic root of 2452157240 is about 1348.4953038426.

Adding to 2452157240 its reverse (427512542), we get a palindrome (2879669782).

The spelling of 2452157240 in words is "two billion, four hundred fifty-two million, one hundred fifty-seven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 104 130 148 185 233 260 296 370 466 481 520 547 740 932 962 1094 1165 1480 1864 1924 2188 2330 2405 2735 3029 3848 4376 4660 4810 5470 6058 7111 8621 9320 9620 10940 12116 14222 15145 17242 19240 20239 21880 24232 28444 30290 34484 35555 40478 43105 56888 60580 68968 71110 80956 86210 101195 112073 121160 127451 142220 161912 172420 202390 224146 254902 263107 284440 344840 404780 448292 509804 526214 560365 637255 809560 896584 1019608 1052428 1120730 1274510 1315535 1656863 2104856 2241460 2549020 2631070 3313726 4482920 4715687 5098040 5262140 6627452 8284315 9431374 10524280 13254904 16568630 18862748 23578435 33137260 37725496 47156870 61303931 66274520 94313740 122607862 188627480 245215724 306519655 490431448 613039310 1226078620 2452157240