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55204416 = 263423463
BaseRepresentation
bin1101001010010…
…1101001000000
310211212200020000
43102211221000
5103113020131
65251120000
71240141551
oct322455100
9124780200
1055204416
1129185993
12165a3000
13b58b247
147490328
154ca6ce6
hex34a5a40

55204416 has 140 divisors (see below), whose sum is σ = 171126912. Its totient is φ = 17563392.

The previous prime is 55204411. The next prime is 55204421. The reversal of 55204416 is 61440255.

It is an interprime number because it is at equal distance from previous prime (55204411) and next prime (55204421).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 55204416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55204411) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119001 + ... + 119463.

Almost surely, 255204416 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 55204416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85563456).

55204416 is an abundant number, since it is smaller than the sum of its proper divisors (115922496).

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

55204416 is a wasteful number, since it uses less digits than its factorization.

55204416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 55204416 is about 7429.9674292691. The cubic root of 55204416 is about 380.7658056060.

The spelling of 55204416 in words is "fifty-five million, two hundred four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 138 144 162 184 192 207 216 276 288 324 368 414 432 463 552 576 621 648 736 828 864 926 1104 1242 1296 1389 1472 1656 1728 1852 1863 2208 2484 2592 2778 3312 3704 3726 4167 4416 4968 5184 5556 6624 7408 7452 8334 9936 10649 11112 12501 13248 14816 14904 16668 19872 21298 22224 25002 29632 29808 31947 33336 37503 39744 42596 44448 50004 59616 63894 66672 75006 85192 88896 95841 100008 119232 127788 133344 150012 170384 191682 200016 255576 266688 287523 300024 340768 383364 400032 511152 575046 600048 681536 766728 800064 862569 1022304 1150092 1200096 1533456 1725138 2044608 2300184 2400192 3066912 3450276 4600368 6133824 6900552 9200736 13801104 18401472 27602208 55204416