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5470050400 = 255237283653
BaseRepresentation
bin1010001100000101…
…00101100001100000
3112010012212100111021
411012002211201200
542200313103100
62302442055224
7252360442543
oct50602454140
915105770437
105470050400
112357778911
121087aaa514
13692358919
1439c69c85a
15220355a1a
hex1460a5860

5470050400 has 144 divisors (see below), whose sum is σ = 13784211504. Its totient is φ = 2118113280.

The previous prime is 5470050379. The next prime is 5470050427. The reversal of 5470050400 is 40500745.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8376474 + ... + 8377126.

It is an arithmetic number, because the mean of its divisors is an integer number (95723691).

Almost surely, 25470050400 is an apocalyptic number.

5470050400 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 5470050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6892105752).

5470050400 is an abundant number, since it is smaller than the sum of its proper divisors (8314161104).

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

5470050400 is a wasteful number, since it uses less digits than its factorization.

5470050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 25.

The square root of 5470050400 is about 73959.7890748750. The cubic root of 5470050400 is about 1761.9643185359.

The spelling of 5470050400 in words is "five billion, four hundred seventy million, fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 74 80 100 148 160 185 200 283 296 370 400 566 592 653 740 800 925 1132 1184 1306 1415 1480 1850 2264 2612 2830 2960 3265 3700 4528 5224 5660 5920 6530 7075 7400 9056 10448 10471 11320 13060 14150 14800 16325 20896 20942 22640 24161 26120 28300 29600 32650 41884 45280 48322 52240 52355 56600 65300 83768 96644 104480 104710 113200 120805 130600 167536 184799 193288 209420 226400 241610 261200 261775 335072 369598 386576 418840 483220 522400 523550 604025 739196 773152 837680 923995 966440 1047100 1208050 1478392 1675360 1847990 1932880 2094200 2416100 2956784 3695980 3865760 4188400 4619975 4832200 5913568 6837563 7391960 8376800 9239950 9664400 13675126 14783920 18479900 19328800 27350252 29567840 34187815 36959800 54700504 68375630 73919600 109401008 136751260 147839200 170939075 218802016 273502520 341878150 547005040 683756300 1094010080 1367512600 2735025200 5470050400