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96550400 = 295219397
BaseRepresentation
bin1011100000100…
…11111000000000
320201200021020202
411300103320000
5144204103100
613325224332
72251444022
oct560237000
9221607222
1096550400
114a555821
12284020a8
131700661b
14cb74012
1587227d5
hex5c13e00

96550400 has 120 divisors (see below), whose sum is σ = 252435480. Its totient is φ = 36495360.

The previous prime is 96550393. The next prime is 96550409. The reversal of 96550400 is 405569.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96550409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 243002 + ... + 243398.

It is an arithmetic number, because the mean of its divisors is an integer number (2103629).

Almost surely, 296550400 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 96550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126217740).

96550400 is an abundant number, since it is smaller than the sum of its proper divisors (155885080).

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

96550400 is a wasteful number, since it uses less digits than its factorization.

96550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 96550400 is about 9826.0063097883. The cubic root of 96550400 is about 458.7591004142.

Adding to 96550400 its reverse (405569), we get a palindrome (96955969).

The spelling of 96550400 in words is "ninety-six million, five hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 128 152 160 190 200 256 304 320 380 397 400 475 512 608 640 760 794 800 950 1216 1280 1520 1588 1600 1900 1985 2432 2560 3040 3176 3200 3800 3970 4864 6080 6352 6400 7543 7600 7940 9728 9925 12160 12704 12800 15086 15200 15880 19850 24320 25408 30172 30400 31760 37715 39700 48640 50816 60344 60800 63520 75430 79400 101632 120688 121600 127040 150860 158800 188575 203264 241376 243200 254080 301720 317600 377150 482752 508160 603440 635200 754300 965504 1016320 1206880 1270400 1508600 1931008 2413760 2540800 3017200 3862016 4827520 5081600 6034400 9655040 12068800 19310080 24137600 48275200 96550400