Search a number
-
+
49922803520 = 265375218093
BaseRepresentation
bin101110011111101000…
…011000011101000000
311202212012120011221222
4232133220120131000
51304220214203040
634533442534212
73415063554062
oct563750303500
9152765504858
1049922803520
111a199137207
129813067368
134927a81735
1425b8397732
151472be6bb5
hexb9fa18740

49922803520 has 112 divisors (see below), whose sum is σ = 122341069008. Its totient is φ = 19389726720.

The previous prime is 49922803519. The next prime is 49922803547. The reversal of 49922803520 is 2530822994.

It can be written as a sum of positive squares in 8 ways, for example, as 11669056 + 49911134464 = 3416^2 + 223408^2 .

It is a super-2 number, since 2×499228035202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6164594 + ... + 6172686.

Almost surely, 249922803520 is an apocalyptic number.

49922803520 is a gapful number since it is divisible by the number (40) 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 49922803520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61170534504).

49922803520 is an abundant number, since it is smaller than the sum of its proper divisors (72418265488).

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

49922803520 is a wasteful number, since it uses less digits than its factorization.

49922803520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8668 (or 8658 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 49922803520 in words is "forty-nine billion, nine hundred twenty-two million, eight hundred three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 148 160 185 296 320 370 521 592 740 1042 1184 1480 2084 2368 2605 2960 4168 5210 5920 8093 8336 10420 11840 16186 16672 19277 20840 32372 33344 38554 40465 41680 64744 77108 80930 83360 96385 129488 154216 161860 166720 192770 258976 299441 308432 323720 385540 517952 598882 616864 647440 771080 1197764 1233728 1294880 1497205 1542160 2395528 2589760 2994410 3084320 4216453 4791056 5988820 6168640 8432906 9582112 11977640 16865812 19164224 21082265 23955280 33731624 42164530 47910560 67463248 84329060 95821120 134926496 156008761 168658120 269852992 312017522 337316240 624035044 674632480 780043805 1248070088 1349264960 1560087610 2496140176 3120175220 4992280352 6240350440 9984560704 12480700880 24961401760 49922803520