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5504340400 = 2452132813767
BaseRepresentation
bin1010010000001010…
…11001000110110000
3112012121101110112021
411020011121012300
542233102343100
62310105041224
7253255056436
oct51005310660
915177343467
105504340400
112375069459
121097486214
136994a3470
143a3066d56
1522337aa1a
hex1481591b0

5504340400 has 120 divisors (see below), whose sum is σ = 14295897504. Its totient is φ = 2024601600.

The previous prime is 5504340397. The next prime is 5504340403. The reversal of 5504340400 is 40434055.

It is an interprime number because it is at equal distance from previous prime (5504340397) and next prime (5504340403).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5504340403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1459317 + ... + 1463083.

Almost surely, 25504340400 is an apocalyptic number.

5504340400 is a gapful number since it is divisible by the number (50) 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 5504340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7147948752).

5504340400 is an abundant number, since it is smaller than the sum of its proper divisors (8791557104).

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

5504340400 is a wasteful number, since it uses less digits than its factorization.

5504340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4079 (or 4068 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 5504340400 is about 74191.2420707458. The cubic root of 5504340400 is about 1765.6383826589.

Adding to 5504340400 its reverse (40434055), we get a palindrome (5544774455).

The spelling of 5504340400 in words is "five billion, five hundred four million, three hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 281 325 400 520 562 650 1040 1124 1300 1405 2248 2600 2810 3653 3767 4496 5200 5620 7025 7306 7534 11240 14050 14612 15068 18265 18835 22480 28100 29224 30136 36530 37670 48971 56200 58448 60272 73060 75340 91325 94175 97942 112400 146120 150680 182650 188350 195884 244855 292240 301360 365300 376700 391768 489710 730600 753400 783536 979420 1058527 1224275 1461200 1506800 1958840 2117054 2448550 3917680 4234108 4897100 5292635 8468216 9794200 10585270 13760851 16936432 19588400 21170540 26463175 27521702 42341080 52926350 55043404 68804255 84682160 105852700 110086808 137608510 211705400 220173616 275217020 344021275 423410800 550434040 688042550 1100868080 1376085100 2752170200 5504340400