Search a number
-
+
2026473552 = 24348318839
BaseRepresentation
bin111100011001001…
…1000100001010000
312020020011112010000
41320302120201100
513122234123202
6533030210000
7101134512105
oct17062304120
95206145100
102026473552
1194a989634
124867b3900
13263ab619c
141531caaac
15bcd9191c
hex78c98850

2026473552 has 100 divisors (see below), whose sum is σ = 5936182560. Its totient is φ = 667317312.

The previous prime is 2026473541. The next prime is 2026473563. The reversal of 2026473552 is 2553746202.

2026473552 is a `hidden beast` number, since 2 + 0 + 2 + 647 + 3 + 5 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2026473541) and next prime (2026473563).

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

It is a congruent number.

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, 98149 + ... + 116987.

Almost surely, 22026473552 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 2026473552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968091280).

2026473552 is an abundant number, since it is smaller than the sum of its proper divisors (3909709008).

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

2026473552 is a wasteful number, since it uses less digits than its factorization.

2026473552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18942 (or 18927 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 2026473552 is about 45016.3698225434. The cubic root of 2026473552 is about 1265.4557980882.

The spelling of 2026473552 in words is "two billion, twenty-six million, four hundred seventy-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 83 108 144 162 166 216 249 324 332 432 498 648 664 747 996 1296 1328 1494 1992 2241 2988 3984 4482 5976 6723 8964 11952 13446 17928 18839 26892 35856 37678 53784 56517 75356 107568 113034 150712 169551 226068 301424 339102 452136 508653 678204 904272 1017306 1356408 1525959 1563637 2034612 2712816 3051918 3127274 4069224 4690911 6103836 6254548 8138448 9381822 12207672 12509096 14072733 18763644 24415344 25018192 28145466 37527288 42218199 56290932 75054576 84436398 112581864 126654597 168872796 225163728 253309194 337745592 506618388 675491184 1013236776 2026473552